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Simplifying 4(v + -6) + -2 = -2(-9v + 6) + -6v Reorder the terms: 4(-6 + v) + -2 = -2(-9v + 6) + -6v (-6 * 4 + v * 4) + -2 = -2(-9v + 6) + -6v (-24 + 4v) + -2 = -2(-9v + 6) + -6v Reorder the terms: -24 + -2 + 4v = -2(-9v + 6) + -6v Combine like terms: -24 + -2 = -26 -26 + 4v = -2(-9v + 6) + -6v Reorder the terms: -26 + 4v = -2(6 + -9v) + -6v -26 + 4v = (6 * -2 + -9v * -2) + -6v -26 + 4v = (-12 + 18v) + -6v Combine like terms: 18v + -6v = 12v -26 + 4v = -12 + 12v Solving -26 + 4v = -12 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -26 + 4v + -12v = -12 + 12v + -12v Combine like terms: 4v + -12v = -8v -26 + -8v = -12 + 12v + -12v Combine like terms: 12v + -12v = 0 -26 + -8v = -12 + 0 -26 + -8v = -12 Add '26' to each side of the equation. -26 + 26 + -8v = -12 + 26 Combine like terms: -26 + 26 = 0 0 + -8v = -12 + 26 -8v = -12 + 26 Combine like terms: -12 + 26 = 14 -8v = 14 Divide each side by '-8'. v = -1.75 Simplifying v = -1.75
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