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Simplifying 5v + -46 = 7(v + -8) Reorder the terms: -46 + 5v = 7(v + -8) Reorder the terms: -46 + 5v = 7(-8 + v) -46 + 5v = (-8 * 7 + v * 7) -46 + 5v = (-56 + 7v) Solving -46 + 5v = -56 + 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 + 5v + -7v = -56 + 7v + -7v Combine like terms: 5v + -7v = -2v -46 + -2v = -56 + 7v + -7v Combine like terms: 7v + -7v = 0 -46 + -2v = -56 + 0 -46 + -2v = -56 Add '46' to each side of the equation. -46 + 46 + -2v = -56 + 46 Combine like terms: -46 + 46 = 0 0 + -2v = -56 + 46 -2v = -56 + 46 Combine like terms: -56 + 46 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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