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Simplifying -3(v + -5) = 5v + -1 Reorder the terms: -3(-5 + v) = 5v + -1 (-5 * -3 + v * -3) = 5v + -1 (15 + -3v) = 5v + -1 Reorder the terms: 15 + -3v = -1 + 5v Solving 15 + -3v = -1 + 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. 15 + -3v + -5v = -1 + 5v + -5v Combine like terms: -3v + -5v = -8v 15 + -8v = -1 + 5v + -5v Combine like terms: 5v + -5v = 0 15 + -8v = -1 + 0 15 + -8v = -1 Add '-15' to each side of the equation. 15 + -15 + -8v = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -8v = -1 + -15 -8v = -1 + -15 Combine like terms: -1 + -15 = -16 -8v = -16 Divide each side by '-8'. v = 2 Simplifying v = 2
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