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The equation –2s + 9 = –s is a linear equation in one variable, which can be solved to find the value of 's'.
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Introduction
Solving linear equations is a fundamental skill in mathematics, and the equation –2s + 9 = –s is a great example to practice this skill. When you encounter an equation like this, your goal is to isolate the variable 's' to find its value. Here’s how you can approach it:
1. **Rearranging the Equation:** Start by adding 's' to both sides to eliminate the negative sign. This gives you:
–2s + s + 9 = 0
which simplifies to –s + 9 = 0.
2. **Isolating the Variable:** Next, subtract 9 from both sides:
–s = –9.
Now, multiply both sides by –1 to solve for 's':
s = 9.
3. **Verification:** Always check your solution by substituting 's' back into the original equation. If both sides equal, your solution is correct!
Understanding how to solve equations like –2s + 9 = –s is essential for further mathematical concepts. Whether you're a student or just brushing up on your skills, mastering these steps can boost your confidence in math. Remember, practice makes perfect!
1. **Rearranging the Equation:** Start by adding 's' to both sides to eliminate the negative sign. This gives you:
–2s + s + 9 = 0
which simplifies to –s + 9 = 0.
2. **Isolating the Variable:** Next, subtract 9 from both sides:
–s = –9.
Now, multiply both sides by –1 to solve for 's':
s = 9.
3. **Verification:** Always check your solution by substituting 's' back into the original equation. If both sides equal, your solution is correct!
Understanding how to solve equations like –2s + 9 = –s is essential for further mathematical concepts. Whether you're a student or just brushing up on your skills, mastering these steps can boost your confidence in math. Remember, practice makes perfect!