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Simplifying -3(-5v + 9) + -7v = 2(v + -6) + -7 Reorder the terms: -3(9 + -5v) + -7v = 2(v + -6) + -7 (9 * -3 + -5v * -3) + -7v = 2(v + -6) + -7 (-27 + 15v) + -7v = 2(v + -6) + -7 Combine like terms: 15v + -7v = 8v -27 + 8v = 2(v + -6) + -7 Reorder the terms: -27 + 8v = 2(-6 + v) + -7 -27 + 8v = (-6 * 2 + v * 2) + -7 -27 + 8v = (-12 + 2v) + -7 Reorder the terms: -27 + 8v = -12 + -7 + 2v Combine like terms: -12 + -7 = -19 -27 + 8v = -19 + 2v Solving -27 + 8v = -19 + 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. -27 + 8v + -2v = -19 + 2v + -2v Combine like terms: 8v + -2v = 6v -27 + 6v = -19 + 2v + -2v Combine like terms: 2v + -2v = 0 -27 + 6v = -19 + 0 -27 + 6v = -19 Add '27' to each side of the equation. -27 + 27 + 6v = -19 + 27 Combine like terms: -27 + 27 = 0 0 + 6v = -19 + 27 6v = -19 + 27 Combine like terms: -19 + 27 = 8 6v = 8 Divide each side by '6'. v = 1.333333333 Simplifying v = 1.333333333
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