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Simplifying -7v + 46 = -3(v + -2) Reorder the terms: 46 + -7v = -3(v + -2) Reorder the terms: 46 + -7v = -3(-2 + v) 46 + -7v = (-2 * -3 + v * -3) 46 + -7v = (6 + -3v) Solving 46 + -7v = 6 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 46 + -7v + 3v = 6 + -3v + 3v Combine like terms: -7v + 3v = -4v 46 + -4v = 6 + -3v + 3v Combine like terms: -3v + 3v = 0 46 + -4v = 6 + 0 46 + -4v = 6 Add '-46' to each side of the equation. 46 + -46 + -4v = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -4v = 6 + -46 -4v = 6 + -46 Combine like terms: 6 + -46 = -40 -4v = -40 Divide each side by '-4'. v = 10 Simplifying v = 10
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