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Simplifying -7v + 5(v + -4) = -24 Reorder the terms: -7v + 5(-4 + v) = -24 -7v + (-4 * 5 + v * 5) = -24 -7v + (-20 + 5v) = -24 Reorder the terms: -20 + -7v + 5v = -24 Combine like terms: -7v + 5v = -2v -20 + -2v = -24 Solving -20 + -2v = -24 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2v = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -2v = -24 + 20 -2v = -24 + 20 Combine like terms: -24 + 20 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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