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Simplifying 18 = 3(v + 4) + 3(-4 + -4v) Reorder the terms: 18 = 3(4 + v) + 3(-4 + -4v) 18 = (4 * 3 + v * 3) + 3(-4 + -4v) 18 = (12 + 3v) + 3(-4 + -4v) 18 = 12 + 3v + (-4 * 3 + -4v * 3) 18 = 12 + 3v + (-12 + -12v) Reorder the terms: 18 = 12 + -12 + 3v + -12v Combine like terms: 12 + -12 = 0 18 = 0 + 3v + -12v 18 = 3v + -12v Combine like terms: 3v + -12v = -9v 18 = -9v Solving 18 = -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 18 + 9v = -9v + 9v Combine like terms: -9v + 9v = 0 18 + 9v = 0 Add '-18' to each side of the equation. 18 + -18 + 9v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9v = 0 + -18 9v = 0 + -18 Combine like terms: 0 + -18 = -18 9v = -18 Divide each side by '9'. v = -2 Simplifying v = -2
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