7(8s-17)=-6(-20s-9)+19

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Solution for 7(8s-17)=-6(-20s-9)+19 equation:


Simplifying
7(8s + -17) = -6(-20s + -9) + 19

Reorder the terms:
7(-17 + 8s) = -6(-20s + -9) + 19
(-17 * 7 + 8s * 7) = -6(-20s + -9) + 19
(-119 + 56s) = -6(-20s + -9) + 19

Reorder the terms:
-119 + 56s = -6(-9 + -20s) + 19
-119 + 56s = (-9 * -6 + -20s * -6) + 19
-119 + 56s = (54 + 120s) + 19

Reorder the terms:
-119 + 56s = 54 + 19 + 120s

Combine like terms: 54 + 19 = 73
-119 + 56s = 73 + 120s

Solving
-119 + 56s = 73 + 120s

Solving for variable 's'.

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

Add '-120s' to each side of the equation.
-119 + 56s + -120s = 73 + 120s + -120s

Combine like terms: 56s + -120s = -64s
-119 + -64s = 73 + 120s + -120s

Combine like terms: 120s + -120s = 0
-119 + -64s = 73 + 0
-119 + -64s = 73

Add '119' to each side of the equation.
-119 + 119 + -64s = 73 + 119

Combine like terms: -119 + 119 = 0
0 + -64s = 73 + 119
-64s = 73 + 119

Combine like terms: 73 + 119 = 192
-64s = 192

Divide each side by '-64'.
s = -3

Simplifying
s = -3

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