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Simplifying 112 = 8 + 8(-5 + 6v) 112 = 8 + (-5 * 8 + 6v * 8) 112 = 8 + (-40 + 48v) Combine like terms: 8 + -40 = -32 112 = -32 + 48v Solving 112 = -32 + 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. 112 + -48v = -32 + 48v + -48v Combine like terms: 48v + -48v = 0 112 + -48v = -32 + 0 112 + -48v = -32 Add '-112' to each side of the equation. 112 + -112 + -48v = -32 + -112 Combine like terms: 112 + -112 = 0 0 + -48v = -32 + -112 -48v = -32 + -112 Combine like terms: -32 + -112 = -144 -48v = -144 Divide each side by '-48'. v = 3 Simplifying v = 3
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