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Simplifying 7v + 46 = 5(v + 8) Reorder the terms: 46 + 7v = 5(v + 8) Reorder the terms: 46 + 7v = 5(8 + v) 46 + 7v = (8 * 5 + v * 5) 46 + 7v = (40 + 5v) Solving 46 + 7v = 40 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 46 + 7v + -5v = 40 + 5v + -5v Combine like terms: 7v + -5v = 2v 46 + 2v = 40 + 5v + -5v Combine like terms: 5v + -5v = 0 46 + 2v = 40 + 0 46 + 2v = 40 Add '-46' to each side of the equation. 46 + -46 + 2v = 40 + -46 Combine like terms: 46 + -46 = 0 0 + 2v = 40 + -46 2v = 40 + -46 Combine like terms: 40 + -46 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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