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Simplifying 5(-3v + -3) = 24 + -2v Reorder the terms: 5(-3 + -3v) = 24 + -2v (-3 * 5 + -3v * 5) = 24 + -2v (-15 + -15v) = 24 + -2v Solving -15 + -15v = 24 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -15 + -15v + 2v = 24 + -2v + 2v Combine like terms: -15v + 2v = -13v -15 + -13v = 24 + -2v + 2v Combine like terms: -2v + 2v = 0 -15 + -13v = 24 + 0 -15 + -13v = 24 Add '15' to each side of the equation. -15 + 15 + -13v = 24 + 15 Combine like terms: -15 + 15 = 0 0 + -13v = 24 + 15 -13v = 24 + 15 Combine like terms: 24 + 15 = 39 -13v = 39 Divide each side by '-13'. v = -3 Simplifying v = -3
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