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Simplifying -18 = 5(v + -2) + -3v Reorder the terms: -18 = 5(-2 + v) + -3v -18 = (-2 * 5 + v * 5) + -3v -18 = (-10 + 5v) + -3v Combine like terms: 5v + -3v = 2v -18 = -10 + 2v Solving -18 = -10 + 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 = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 -18 + -2v = -10 + 0 -18 + -2v = -10 Add '18' to each side of the equation. -18 + 18 + -2v = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -2v = -10 + 18 -2v = -10 + 18 Combine like terms: -10 + 18 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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