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Simplifying 9(v + -6) = 7v + -46 Reorder the terms: 9(-6 + v) = 7v + -46 (-6 * 9 + v * 9) = 7v + -46 (-54 + 9v) = 7v + -46 Reorder the terms: -54 + 9v = -46 + 7v Solving -54 + 9v = -46 + 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. -54 + 9v + -7v = -46 + 7v + -7v Combine like terms: 9v + -7v = 2v -54 + 2v = -46 + 7v + -7v Combine like terms: 7v + -7v = 0 -54 + 2v = -46 + 0 -54 + 2v = -46 Add '54' to each side of the equation. -54 + 54 + 2v = -46 + 54 Combine like terms: -54 + 54 = 0 0 + 2v = -46 + 54 2v = -46 + 54 Combine like terms: -46 + 54 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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