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Simplifying -18 = 5(v + -4) + -7v Reorder the terms: -18 = 5(-4 + v) + -7v -18 = (-4 * 5 + v * 5) + -7v -18 = (-20 + 5v) + -7v Combine like terms: 5v + -7v = -2v -18 = -20 + -2v Solving -18 = -20 + -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. -18 + 2v = -20 + -2v + 2v Combine like terms: -2v + 2v = 0 -18 + 2v = -20 + 0 -18 + 2v = -20 Add '18' to each side of the equation. -18 + 18 + 2v = -20 + 18 Combine like terms: -18 + 18 = 0 0 + 2v = -20 + 18 2v = -20 + 18 Combine like terms: -20 + 18 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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