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Simplifying -3(5v + -4) + 3v = 3 + 3(2v + -2) Reorder the terms: -3(-4 + 5v) + 3v = 3 + 3(2v + -2) (-4 * -3 + 5v * -3) + 3v = 3 + 3(2v + -2) (12 + -15v) + 3v = 3 + 3(2v + -2) Combine like terms: -15v + 3v = -12v 12 + -12v = 3 + 3(2v + -2) Reorder the terms: 12 + -12v = 3 + 3(-2 + 2v) 12 + -12v = 3 + (-2 * 3 + 2v * 3) 12 + -12v = 3 + (-6 + 6v) Combine like terms: 3 + -6 = -3 12 + -12v = -3 + 6v Solving 12 + -12v = -3 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + -12v + -6v = -3 + 6v + -6v Combine like terms: -12v + -6v = -18v 12 + -18v = -3 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -18v = -3 + 0 12 + -18v = -3 Add '-12' to each side of the equation. 12 + -12 + -18v = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -18v = -3 + -12 -18v = -3 + -12 Combine like terms: -3 + -12 = -15 -18v = -15 Divide each side by '-18'. v = 0.8333333333 Simplifying v = 0.8333333333
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