-2(45-5)-10=-3(6s+4)-3

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Solution for -2(45-5)-10=-3(6s+4)-3 equation:


Simplifying
-2(45 + -5) + -10 = -3(6s + 4) + -3

Combine like terms: 45 + -5 = 40
-2(40) + -10 = -3(6s + 4) + -3

Multiply -2 * 40
-80 + -10 = -3(6s + 4) + -3

Combine like terms: -80 + -10 = -90
-90 = -3(6s + 4) + -3

Reorder the terms:
-90 = -3(4 + 6s) + -3
-90 = (4 * -3 + 6s * -3) + -3
-90 = (-12 + -18s) + -3

Reorder the terms:
-90 = -12 + -3 + -18s

Combine like terms: -12 + -3 = -15
-90 = -15 + -18s

Solving
-90 = -15 + -18s

Solving for variable 's'.

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

Add '18s' to each side of the equation.
-90 + 18s = -15 + -18s + 18s

Combine like terms: -18s + 18s = 0
-90 + 18s = -15 + 0
-90 + 18s = -15

Add '90' to each side of the equation.
-90 + 90 + 18s = -15 + 90

Combine like terms: -90 + 90 = 0
0 + 18s = -15 + 90
18s = -15 + 90

Combine like terms: -15 + 90 = 75
18s = 75

Divide each side by '18'.
s = 4.166666667

Simplifying
s = 4.166666667

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