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Simplifying -4v + -46 = 3(v + 1) Reorder the terms: -46 + -4v = 3(v + 1) Reorder the terms: -46 + -4v = 3(1 + v) -46 + -4v = (1 * 3 + v * 3) -46 + -4v = (3 + 3v) Solving -46 + -4v = 3 + 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 + -4v + -3v = 3 + 3v + -3v Combine like terms: -4v + -3v = -7v -46 + -7v = 3 + 3v + -3v Combine like terms: 3v + -3v = 0 -46 + -7v = 3 + 0 -46 + -7v = 3 Add '46' to each side of the equation. -46 + 46 + -7v = 3 + 46 Combine like terms: -46 + 46 = 0 0 + -7v = 3 + 46 -7v = 3 + 46 Combine like terms: 3 + 46 = 49 -7v = 49 Divide each side by '-7'. v = -7 Simplifying v = -7
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