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Simplifying 2(v + 9) = -5(12 + -3v) Reorder the terms: 2(9 + v) = -5(12 + -3v) (9 * 2 + v * 2) = -5(12 + -3v) (18 + 2v) = -5(12 + -3v) 18 + 2v = (12 * -5 + -3v * -5) 18 + 2v = (-60 + 15v) Solving 18 + 2v = -60 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 18 + 2v + -15v = -60 + 15v + -15v Combine like terms: 2v + -15v = -13v 18 + -13v = -60 + 15v + -15v Combine like terms: 15v + -15v = 0 18 + -13v = -60 + 0 18 + -13v = -60 Add '-18' to each side of the equation. 18 + -18 + -13v = -60 + -18 Combine like terms: 18 + -18 = 0 0 + -13v = -60 + -18 -13v = -60 + -18 Combine like terms: -60 + -18 = -78 -13v = -78 Divide each side by '-13'. v = 6 Simplifying v = 6
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