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Simplifying -2(6v + 9) + -1v = 2(v + -4) + -4 Reorder the terms: -2(9 + 6v) + -1v = 2(v + -4) + -4 (9 * -2 + 6v * -2) + -1v = 2(v + -4) + -4 (-18 + -12v) + -1v = 2(v + -4) + -4 Combine like terms: -12v + -1v = -13v -18 + -13v = 2(v + -4) + -4 Reorder the terms: -18 + -13v = 2(-4 + v) + -4 -18 + -13v = (-4 * 2 + v * 2) + -4 -18 + -13v = (-8 + 2v) + -4 Reorder the terms: -18 + -13v = -8 + -4 + 2v Combine like terms: -8 + -4 = -12 -18 + -13v = -12 + 2v Solving -18 + -13v = -12 + 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 + -13v + -2v = -12 + 2v + -2v Combine like terms: -13v + -2v = -15v -18 + -15v = -12 + 2v + -2v Combine like terms: 2v + -2v = 0 -18 + -15v = -12 + 0 -18 + -15v = -12 Add '18' to each side of the equation. -18 + 18 + -15v = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -15v = -12 + 18 -15v = -12 + 18 Combine like terms: -12 + 18 = 6 -15v = 6 Divide each side by '-15'. v = -0.4 Simplifying v = -0.4
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