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Simplifying -5(v + -4) = -7v + 6 Reorder the terms: -5(-4 + v) = -7v + 6 (-4 * -5 + v * -5) = -7v + 6 (20 + -5v) = -7v + 6 Reorder the terms: 20 + -5v = 6 + -7v Solving 20 + -5v = 6 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 20 + -5v + 7v = 6 + -7v + 7v Combine like terms: -5v + 7v = 2v 20 + 2v = 6 + -7v + 7v Combine like terms: -7v + 7v = 0 20 + 2v = 6 + 0 20 + 2v = 6 Add '-20' to each side of the equation. 20 + -20 + 2v = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 2v = 6 + -20 2v = 6 + -20 Combine like terms: 6 + -20 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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