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Simplifying 3(v + -8) = 5(v + 1) Reorder the terms: 3(-8 + v) = 5(v + 1) (-8 * 3 + v * 3) = 5(v + 1) (-24 + 3v) = 5(v + 1) Reorder the terms: -24 + 3v = 5(1 + v) -24 + 3v = (1 * 5 + v * 5) -24 + 3v = (5 + 5v) Solving -24 + 3v = 5 + 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. -24 + 3v + -5v = 5 + 5v + -5v Combine like terms: 3v + -5v = -2v -24 + -2v = 5 + 5v + -5v Combine like terms: 5v + -5v = 0 -24 + -2v = 5 + 0 -24 + -2v = 5 Add '24' to each side of the equation. -24 + 24 + -2v = 5 + 24 Combine like terms: -24 + 24 = 0 0 + -2v = 5 + 24 -2v = 5 + 24 Combine like terms: 5 + 24 = 29 -2v = 29 Divide each side by '-2'. v = -14.5 Simplifying v = -14.5
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