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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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