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Simplifying 6v + 4 + -3(-3v + -2) = 5(v + -1) Reorder the terms: 6v + 4 + -3(-2 + -3v) = 5(v + -1) 6v + 4 + (-2 * -3 + -3v * -3) = 5(v + -1) 6v + 4 + (6 + 9v) = 5(v + -1) Reorder the terms: 4 + 6 + 6v + 9v = 5(v + -1) Combine like terms: 4 + 6 = 10 10 + 6v + 9v = 5(v + -1) Combine like terms: 6v + 9v = 15v 10 + 15v = 5(v + -1) Reorder the terms: 10 + 15v = 5(-1 + v) 10 + 15v = (-1 * 5 + v * 5) 10 + 15v = (-5 + 5v) Solving 10 + 15v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 10 + 15v + -5v = -5 + 5v + -5v Combine like terms: 15v + -5v = 10v 10 + 10v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 10 + 10v = -5 + 0 10 + 10v = -5 Add '-10' to each side of the equation. 10 + -10 + 10v = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 10v = -5 + -10 10v = -5 + -10 Combine like terms: -5 + -10 = -15 10v = -15 Divide each side by '10'. v = -1.5 Simplifying v = -1.5
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