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Simplifying -178 = -7(1 + 7v) + -8v -178 = (1 * -7 + 7v * -7) + -8v -178 = (-7 + -49v) + -8v Combine like terms: -49v + -8v = -57v -178 = -7 + -57v Solving -178 = -7 + -57v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '57v' to each side of the equation. -178 + 57v = -7 + -57v + 57v Combine like terms: -57v + 57v = 0 -178 + 57v = -7 + 0 -178 + 57v = -7 Add '178' to each side of the equation. -178 + 178 + 57v = -7 + 178 Combine like terms: -178 + 178 = 0 0 + 57v = -7 + 178 57v = -7 + 178 Combine like terms: -7 + 178 = 171 57v = 171 Divide each side by '57'. v = 3 Simplifying v = 3
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