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Simplifying v + -5 + 3(4v + 7) = -2(v + 1) Reorder the terms: v + -5 + 3(7 + 4v) = -2(v + 1) v + -5 + (7 * 3 + 4v * 3) = -2(v + 1) v + -5 + (21 + 12v) = -2(v + 1) Reorder the terms: -5 + 21 + v + 12v = -2(v + 1) Combine like terms: -5 + 21 = 16 16 + v + 12v = -2(v + 1) Combine like terms: v + 12v = 13v 16 + 13v = -2(v + 1) Reorder the terms: 16 + 13v = -2(1 + v) 16 + 13v = (1 * -2 + v * -2) 16 + 13v = (-2 + -2v) Solving 16 + 13v = -2 + -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. 16 + 13v + 2v = -2 + -2v + 2v Combine like terms: 13v + 2v = 15v 16 + 15v = -2 + -2v + 2v Combine like terms: -2v + 2v = 0 16 + 15v = -2 + 0 16 + 15v = -2 Add '-16' to each side of the equation. 16 + -16 + 15v = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 15v = -2 + -16 15v = -2 + -16 Combine like terms: -2 + -16 = -18 15v = -18 Divide each side by '15'. v = -1.2 Simplifying v = -1.2
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