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Simplifying -3(3v + -1) + 3v = 3 + 5(2v + -2) Reorder the terms: -3(-1 + 3v) + 3v = 3 + 5(2v + -2) (-1 * -3 + 3v * -3) + 3v = 3 + 5(2v + -2) (3 + -9v) + 3v = 3 + 5(2v + -2) Combine like terms: -9v + 3v = -6v 3 + -6v = 3 + 5(2v + -2) Reorder the terms: 3 + -6v = 3 + 5(-2 + 2v) 3 + -6v = 3 + (-2 * 5 + 2v * 5) 3 + -6v = 3 + (-10 + 10v) Combine like terms: 3 + -10 = -7 3 + -6v = -7 + 10v Solving 3 + -6v = -7 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 3 + -6v + -10v = -7 + 10v + -10v Combine like terms: -6v + -10v = -16v 3 + -16v = -7 + 10v + -10v Combine like terms: 10v + -10v = 0 3 + -16v = -7 + 0 3 + -16v = -7 Add '-3' to each side of the equation. 3 + -3 + -16v = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -16v = -7 + -3 -16v = -7 + -3 Combine like terms: -7 + -3 = -10 -16v = -10 Divide each side by '-16'. v = 0.625 Simplifying v = 0.625
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