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Simplifying 4(v + -6) + -6 = -3(-9v + 6) + -8v Reorder the terms: 4(-6 + v) + -6 = -3(-9v + 6) + -8v (-6 * 4 + v * 4) + -6 = -3(-9v + 6) + -8v (-24 + 4v) + -6 = -3(-9v + 6) + -8v Reorder the terms: -24 + -6 + 4v = -3(-9v + 6) + -8v Combine like terms: -24 + -6 = -30 -30 + 4v = -3(-9v + 6) + -8v Reorder the terms: -30 + 4v = -3(6 + -9v) + -8v -30 + 4v = (6 * -3 + -9v * -3) + -8v -30 + 4v = (-18 + 27v) + -8v Combine like terms: 27v + -8v = 19v -30 + 4v = -18 + 19v Solving -30 + 4v = -18 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -30 + 4v + -19v = -18 + 19v + -19v Combine like terms: 4v + -19v = -15v -30 + -15v = -18 + 19v + -19v Combine like terms: 19v + -19v = 0 -30 + -15v = -18 + 0 -30 + -15v = -18 Add '30' to each side of the equation. -30 + 30 + -15v = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -15v = -18 + 30 -15v = -18 + 30 Combine like terms: -18 + 30 = 12 -15v = 12 Divide each side by '-15'. v = -0.8 Simplifying v = -0.8
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