2s+3(s+1)=6s-9

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Solution for 2s+3(s+1)=6s-9 equation:


Simplifying
2s + 3(s + 1) = 6s + -9

Reorder the terms:
2s + 3(1 + s) = 6s + -9
2s + (1 * 3 + s * 3) = 6s + -9
2s + (3 + 3s) = 6s + -9

Reorder the terms:
3 + 2s + 3s = 6s + -9

Combine like terms: 2s + 3s = 5s
3 + 5s = 6s + -9

Reorder the terms:
3 + 5s = -9 + 6s

Solving
3 + 5s = -9 + 6s

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-6s' to each side of the equation.
3 + 5s + -6s = -9 + 6s + -6s

Combine like terms: 5s + -6s = -1s
3 + -1s = -9 + 6s + -6s

Combine like terms: 6s + -6s = 0
3 + -1s = -9 + 0
3 + -1s = -9

Add '-3' to each side of the equation.
3 + -3 + -1s = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = -9 + -3
-1s = -9 + -3

Combine like terms: -9 + -3 = -12
-1s = -12

Divide each side by '-1'.
s = 12

Simplifying
s = 12

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