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Simplifying -3(-5v + 6) + -3v = 2(v + -4) + -2 Reorder the terms: -3(6 + -5v) + -3v = 2(v + -4) + -2 (6 * -3 + -5v * -3) + -3v = 2(v + -4) + -2 (-18 + 15v) + -3v = 2(v + -4) + -2 Combine like terms: 15v + -3v = 12v -18 + 12v = 2(v + -4) + -2 Reorder the terms: -18 + 12v = 2(-4 + v) + -2 -18 + 12v = (-4 * 2 + v * 2) + -2 -18 + 12v = (-8 + 2v) + -2 Reorder the terms: -18 + 12v = -8 + -2 + 2v Combine like terms: -8 + -2 = -10 -18 + 12v = -10 + 2v Solving -18 + 12v = -10 + 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. -18 + 12v + -2v = -10 + 2v + -2v Combine like terms: 12v + -2v = 10v -18 + 10v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 -18 + 10v = -10 + 0 -18 + 10v = -10 Add '18' to each side of the equation. -18 + 18 + 10v = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 10v = -10 + 18 10v = -10 + 18 Combine like terms: -10 + 18 = 8 10v = 8 Divide each side by '10'. v = 0.8 Simplifying v = 0.8
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