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Simplifying -7v + 46 = 2(v + -4) Reorder the terms: 46 + -7v = 2(v + -4) Reorder the terms: 46 + -7v = 2(-4 + v) 46 + -7v = (-4 * 2 + v * 2) 46 + -7v = (-8 + 2v) Solving 46 + -7v = -8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 46 + -7v + -2v = -8 + 2v + -2v Combine like terms: -7v + -2v = -9v 46 + -9v = -8 + 2v + -2v Combine like terms: 2v + -2v = 0 46 + -9v = -8 + 0 46 + -9v = -8 Add '-46' to each side of the equation. 46 + -46 + -9v = -8 + -46 Combine like terms: 46 + -46 = 0 0 + -9v = -8 + -46 -9v = -8 + -46 Combine like terms: -8 + -46 = -54 -9v = -54 Divide each side by '-9'. v = 6 Simplifying v = 6
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