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Simplifying -3(4v + -5) = -15 + 3v Reorder the terms: -3(-5 + 4v) = -15 + 3v (-5 * -3 + 4v * -3) = -15 + 3v (15 + -12v) = -15 + 3v Solving 15 + -12v = -15 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 15 + -12v + -3v = -15 + 3v + -3v Combine like terms: -12v + -3v = -15v 15 + -15v = -15 + 3v + -3v Combine like terms: 3v + -3v = 0 15 + -15v = -15 + 0 15 + -15v = -15 Add '-15' to each side of the equation. 15 + -15 + -15v = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -15v = -15 + -15 -15v = -15 + -15 Combine like terms: -15 + -15 = -30 -15v = -30 Divide each side by '-15'. v = 2 Simplifying v = 2
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