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Simplifying 2(v + -6) + -9 = -3(-6v + 9) + -1v Reorder the terms: 2(-6 + v) + -9 = -3(-6v + 9) + -1v (-6 * 2 + v * 2) + -9 = -3(-6v + 9) + -1v (-12 + 2v) + -9 = -3(-6v + 9) + -1v Reorder the terms: -12 + -9 + 2v = -3(-6v + 9) + -1v Combine like terms: -12 + -9 = -21 -21 + 2v = -3(-6v + 9) + -1v Reorder the terms: -21 + 2v = -3(9 + -6v) + -1v -21 + 2v = (9 * -3 + -6v * -3) + -1v -21 + 2v = (-27 + 18v) + -1v Combine like terms: 18v + -1v = 17v -21 + 2v = -27 + 17v Solving -21 + 2v = -27 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -21 + 2v + -17v = -27 + 17v + -17v Combine like terms: 2v + -17v = -15v -21 + -15v = -27 + 17v + -17v Combine like terms: 17v + -17v = 0 -21 + -15v = -27 + 0 -21 + -15v = -27 Add '21' to each side of the equation. -21 + 21 + -15v = -27 + 21 Combine like terms: -21 + 21 = 0 0 + -15v = -27 + 21 -15v = -27 + 21 Combine like terms: -27 + 21 = -6 -15v = -6 Divide each side by '-15'. v = 0.4 Simplifying v = 0.4
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