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Simplifying -18 = -7v + 5(v + -6) Reorder the terms: -18 = -7v + 5(-6 + v) -18 = -7v + (-6 * 5 + v * 5) -18 = -7v + (-30 + 5v) Reorder the terms: -18 = -30 + -7v + 5v Combine like terms: -7v + 5v = -2v -18 = -30 + -2v Solving -18 = -30 + -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 = -30 + -2v + 2v Combine like terms: -2v + 2v = 0 -18 + 2v = -30 + 0 -18 + 2v = -30 Add '18' to each side of the equation. -18 + 18 + 2v = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 2v = -30 + 18 2v = -30 + 18 Combine like terms: -30 + 18 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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