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Simplifying 6(v + -1) + -6 = -6(-3v + 5) + -2v Reorder the terms: 6(-1 + v) + -6 = -6(-3v + 5) + -2v (-1 * 6 + v * 6) + -6 = -6(-3v + 5) + -2v (-6 + 6v) + -6 = -6(-3v + 5) + -2v Reorder the terms: -6 + -6 + 6v = -6(-3v + 5) + -2v Combine like terms: -6 + -6 = -12 -12 + 6v = -6(-3v + 5) + -2v Reorder the terms: -12 + 6v = -6(5 + -3v) + -2v -12 + 6v = (5 * -6 + -3v * -6) + -2v -12 + 6v = (-30 + 18v) + -2v Combine like terms: 18v + -2v = 16v -12 + 6v = -30 + 16v Solving -12 + 6v = -30 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -12 + 6v + -16v = -30 + 16v + -16v Combine like terms: 6v + -16v = -10v -12 + -10v = -30 + 16v + -16v Combine like terms: 16v + -16v = 0 -12 + -10v = -30 + 0 -12 + -10v = -30 Add '12' to each side of the equation. -12 + 12 + -10v = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -10v = -30 + 12 -10v = -30 + 12 Combine like terms: -30 + 12 = -18 -10v = -18 Divide each side by '-10'. v = 1.8 Simplifying v = 1.8
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