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Simplifying -5v + 24 = -3(v + -4) Reorder the terms: 24 + -5v = -3(v + -4) Reorder the terms: 24 + -5v = -3(-4 + v) 24 + -5v = (-4 * -3 + v * -3) 24 + -5v = (12 + -3v) Solving 24 + -5v = 12 + -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. 24 + -5v + 3v = 12 + -3v + 3v Combine like terms: -5v + 3v = -2v 24 + -2v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 24 + -2v = 12 + 0 24 + -2v = 12 Add '-24' to each side of the equation. 24 + -24 + -2v = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = 12 + -24 -2v = 12 + -24 Combine like terms: 12 + -24 = -12 -2v = -12 Divide each side by '-2'. v = 6 Simplifying v = 6
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