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Simplifying v + -8 + 3(3v + 5) = -2(v + 1) Reorder the terms: v + -8 + 3(5 + 3v) = -2(v + 1) v + -8 + (5 * 3 + 3v * 3) = -2(v + 1) v + -8 + (15 + 9v) = -2(v + 1) Reorder the terms: -8 + 15 + v + 9v = -2(v + 1) Combine like terms: -8 + 15 = 7 7 + v + 9v = -2(v + 1) Combine like terms: v + 9v = 10v 7 + 10v = -2(v + 1) Reorder the terms: 7 + 10v = -2(1 + v) 7 + 10v = (1 * -2 + v * -2) 7 + 10v = (-2 + -2v) Solving 7 + 10v = -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. 7 + 10v + 2v = -2 + -2v + 2v Combine like terms: 10v + 2v = 12v 7 + 12v = -2 + -2v + 2v Combine like terms: -2v + 2v = 0 7 + 12v = -2 + 0 7 + 12v = -2 Add '-7' to each side of the equation. 7 + -7 + 12v = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 12v = -2 + -7 12v = -2 + -7 Combine like terms: -2 + -7 = -9 12v = -9 Divide each side by '12'. v = -0.75 Simplifying v = -0.75
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