-7(s-6)+9(s-3)=13

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Solution for -7(s-6)+9(s-3)=13 equation:


Simplifying
-7(s + -6) + 9(s + -3) = 13

Reorder the terms:
-7(-6 + s) + 9(s + -3) = 13
(-6 * -7 + s * -7) + 9(s + -3) = 13
(42 + -7s) + 9(s + -3) = 13

Reorder the terms:
42 + -7s + 9(-3 + s) = 13
42 + -7s + (-3 * 9 + s * 9) = 13
42 + -7s + (-27 + 9s) = 13

Reorder the terms:
42 + -27 + -7s + 9s = 13

Combine like terms: 42 + -27 = 15
15 + -7s + 9s = 13

Combine like terms: -7s + 9s = 2s
15 + 2s = 13

Solving
15 + 2s = 13

Solving for variable 's'.

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

Add '-15' to each side of the equation.
15 + -15 + 2s = 13 + -15

Combine like terms: 15 + -15 = 0
0 + 2s = 13 + -15
2s = 13 + -15

Combine like terms: 13 + -15 = -2
2s = -2

Divide each side by '2'.
s = -1

Simplifying
s = -1

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