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Simplifying 6v + 4 + -3(-3v + -3) = 5(v + -1) Reorder the terms: 6v + 4 + -3(-3 + -3v) = 5(v + -1) 6v + 4 + (-3 * -3 + -3v * -3) = 5(v + -1) 6v + 4 + (9 + 9v) = 5(v + -1) Reorder the terms: 4 + 9 + 6v + 9v = 5(v + -1) Combine like terms: 4 + 9 = 13 13 + 6v + 9v = 5(v + -1) Combine like terms: 6v + 9v = 15v 13 + 15v = 5(v + -1) Reorder the terms: 13 + 15v = 5(-1 + v) 13 + 15v = (-1 * 5 + v * 5) 13 + 15v = (-5 + 5v) Solving 13 + 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. 13 + 15v + -5v = -5 + 5v + -5v Combine like terms: 15v + -5v = 10v 13 + 10v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 13 + 10v = -5 + 0 13 + 10v = -5 Add '-13' to each side of the equation. 13 + -13 + 10v = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 10v = -5 + -13 10v = -5 + -13 Combine like terms: -5 + -13 = -18 10v = -18 Divide each side by '10'. v = -1.8 Simplifying v = -1.8
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