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Simplifying -8v + 46 = 7(v + -2) Reorder the terms: 46 + -8v = 7(v + -2) Reorder the terms: 46 + -8v = 7(-2 + v) 46 + -8v = (-2 * 7 + v * 7) 46 + -8v = (-14 + 7v) Solving 46 + -8v = -14 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 46 + -8v + -7v = -14 + 7v + -7v Combine like terms: -8v + -7v = -15v 46 + -15v = -14 + 7v + -7v Combine like terms: 7v + -7v = 0 46 + -15v = -14 + 0 46 + -15v = -14 Add '-46' to each side of the equation. 46 + -46 + -15v = -14 + -46 Combine like terms: 46 + -46 = 0 0 + -15v = -14 + -46 -15v = -14 + -46 Combine like terms: -14 + -46 = -60 -15v = -60 Divide each side by '-15'. v = 4 Simplifying v = 4
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