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Simplifying -112 = -8v + 8(4 + 7v) -112 = -8v + (4 * 8 + 7v * 8) -112 = -8v + (32 + 56v) Reorder the terms: -112 = 32 + -8v + 56v Combine like terms: -8v + 56v = 48v -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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