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Simplifying 4(v + 9) = -2v + -18 Reorder the terms: 4(9 + v) = -2v + -18 (9 * 4 + v * 4) = -2v + -18 (36 + 4v) = -2v + -18 Reorder the terms: 36 + 4v = -18 + -2v Solving 36 + 4v = -18 + -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. 36 + 4v + 2v = -18 + -2v + 2v Combine like terms: 4v + 2v = 6v 36 + 6v = -18 + -2v + 2v Combine like terms: -2v + 2v = 0 36 + 6v = -18 + 0 36 + 6v = -18 Add '-36' to each side of the equation. 36 + -36 + 6v = -18 + -36 Combine like terms: 36 + -36 = 0 0 + 6v = -18 + -36 6v = -18 + -36 Combine like terms: -18 + -36 = -54 6v = -54 Divide each side by '6'. v = -9 Simplifying v = -9
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