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Simplifying v + 1 + -3(-3v + -3) = 2(v + -2) Reorder the terms: v + 1 + -3(-3 + -3v) = 2(v + -2) v + 1 + (-3 * -3 + -3v * -3) = 2(v + -2) v + 1 + (9 + 9v) = 2(v + -2) Reorder the terms: 1 + 9 + v + 9v = 2(v + -2) Combine like terms: 1 + 9 = 10 10 + v + 9v = 2(v + -2) Combine like terms: v + 9v = 10v 10 + 10v = 2(v + -2) Reorder the terms: 10 + 10v = 2(-2 + v) 10 + 10v = (-2 * 2 + v * 2) 10 + 10v = (-4 + 2v) Solving 10 + 10v = -4 + 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. 10 + 10v + -2v = -4 + 2v + -2v Combine like terms: 10v + -2v = 8v 10 + 8v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + 8v = -4 + 0 10 + 8v = -4 Add '-10' to each side of the equation. 10 + -10 + 8v = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 8v = -4 + -10 8v = -4 + -10 Combine like terms: -4 + -10 = -14 8v = -14 Divide each side by '8'. v = -1.75 Simplifying v = -1.75
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