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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 = -8v 24 + -8v = 5 + 5v + -5v Combine like terms: 5v + -5v = 0 24 + -8v = 5 + 0 24 + -8v = 5 Add '-24' to each side of the equation. 24 + -24 + -8v = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -8v = 5 + -24 -8v = 5 + -24 Combine like terms: 5 + -24 = -19 -8v = -19 Divide each side by '-8'. v = 2.375 Simplifying v = 2.375
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