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Simplifying -3v + -46 = 7(v + 2) Reorder the terms: -46 + -3v = 7(v + 2) Reorder the terms: -46 + -3v = 7(2 + v) -46 + -3v = (2 * 7 + v * 7) -46 + -3v = (14 + 7v) Solving -46 + -3v = 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 + -3v + -7v = 14 + 7v + -7v Combine like terms: -3v + -7v = -10v -46 + -10v = 14 + 7v + -7v Combine like terms: 7v + -7v = 0 -46 + -10v = 14 + 0 -46 + -10v = 14 Add '46' to each side of the equation. -46 + 46 + -10v = 14 + 46 Combine like terms: -46 + 46 = 0 0 + -10v = 14 + 46 -10v = 14 + 46 Combine like terms: 14 + 46 = 60 -10v = 60 Divide each side by '-10'. v = -6 Simplifying v = -6
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