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Simplifying 15 = -3(9v + -7) + -6(1 + 2v) Reorder the terms: 15 = -3(-7 + 9v) + -6(1 + 2v) 15 = (-7 * -3 + 9v * -3) + -6(1 + 2v) 15 = (21 + -27v) + -6(1 + 2v) 15 = 21 + -27v + (1 * -6 + 2v * -6) 15 = 21 + -27v + (-6 + -12v) Reorder the terms: 15 = 21 + -6 + -27v + -12v Combine like terms: 21 + -6 = 15 15 = 15 + -27v + -12v Combine like terms: -27v + -12v = -39v 15 = 15 + -39v Add '-15' to each side of the equation. 15 + -15 = 15 + -15 + -39v Combine like terms: 15 + -15 = 0 0 = 15 + -15 + -39v Combine like terms: 15 + -15 = 0 0 = 0 + -39v 0 = -39v Solving 0 = -39v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '39v' to each side of the equation. 0 + 39v = -39v + 39v Remove the zero: 39v = -39v + 39v Combine like terms: -39v + 39v = 0 39v = 0 Divide each side by '39'. v = 0 Simplifying v = 0
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