-2(.5-4s)=-3(4-3.5s)

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Solution for -2(.5-4s)=-3(4-3.5s) equation: 


Simplifying
-2(0.5 + -4s) = -3(4 + -3.5s)
(0.5 * -2 + -4s * -2) = -3(4 + -3.5s)
(-1 + 8s) = -3(4 + -3.5s)
-1 + 8s = (4 * -3 + -3.5s * -3)
-1 + 8s = (-12 + 10.5s)

Solving
-1 + 8s = -12 + 10.5s

Solving for variable 's'.

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

Add '-10.5s' to each side of the equation.
-1 + 8s + -10.5s = -12 + 10.5s + -10.5s

Combine like terms: 8s + -10.5s = -2.5s
-1 + -2.5s = -12 + 10.5s + -10.5s

Combine like terms: 10.5s + -10.5s = 0.0
-1 + -2.5s = -12 + 0.0
-1 + -2.5s = -12

Add '1' to each side of the equation.
-1 + 1 + -2.5s = -12 + 1

Combine like terms: -1 + 1 = 0
0 + -2.5s = -12 + 1
-2.5s = -12 + 1

Combine like terms: -12 + 1 = -11
-2.5s = -11

Divide each side by '-2.5'.
s = 4.4

Simplifying
s = 4.4

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