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Simplifying 4(v + -6) + -4 = -2(-9v + 5) + -2v Reorder the terms: 4(-6 + v) + -4 = -2(-9v + 5) + -2v (-6 * 4 + v * 4) + -4 = -2(-9v + 5) + -2v (-24 + 4v) + -4 = -2(-9v + 5) + -2v Reorder the terms: -24 + -4 + 4v = -2(-9v + 5) + -2v Combine like terms: -24 + -4 = -28 -28 + 4v = -2(-9v + 5) + -2v Reorder the terms: -28 + 4v = -2(5 + -9v) + -2v -28 + 4v = (5 * -2 + -9v * -2) + -2v -28 + 4v = (-10 + 18v) + -2v Combine like terms: 18v + -2v = 16v -28 + 4v = -10 + 16v Solving -28 + 4v = -10 + 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. -28 + 4v + -16v = -10 + 16v + -16v Combine like terms: 4v + -16v = -12v -28 + -12v = -10 + 16v + -16v Combine like terms: 16v + -16v = 0 -28 + -12v = -10 + 0 -28 + -12v = -10 Add '28' to each side of the equation. -28 + 28 + -12v = -10 + 28 Combine like terms: -28 + 28 = 0 0 + -12v = -10 + 28 -12v = -10 + 28 Combine like terms: -10 + 28 = 18 -12v = 18 Divide each side by '-12'. v = -1.5 Simplifying v = -1.5
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