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Simplifying -3(-4v + 9) + -2v = 2(v + -5) + -7 Reorder the terms: -3(9 + -4v) + -2v = 2(v + -5) + -7 (9 * -3 + -4v * -3) + -2v = 2(v + -5) + -7 (-27 + 12v) + -2v = 2(v + -5) + -7 Combine like terms: 12v + -2v = 10v -27 + 10v = 2(v + -5) + -7 Reorder the terms: -27 + 10v = 2(-5 + v) + -7 -27 + 10v = (-5 * 2 + v * 2) + -7 -27 + 10v = (-10 + 2v) + -7 Reorder the terms: -27 + 10v = -10 + -7 + 2v Combine like terms: -10 + -7 = -17 -27 + 10v = -17 + 2v Solving -27 + 10v = -17 + 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 + 10v + -2v = -17 + 2v + -2v Combine like terms: 10v + -2v = 8v -27 + 8v = -17 + 2v + -2v Combine like terms: 2v + -2v = 0 -27 + 8v = -17 + 0 -27 + 8v = -17 Add '27' to each side of the equation. -27 + 27 + 8v = -17 + 27 Combine like terms: -27 + 27 = 0 0 + 8v = -17 + 27 8v = -17 + 27 Combine like terms: -17 + 27 = 10 8v = 10 Divide each side by '8'. v = 1.25 Simplifying v = 1.25
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