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Simplifying -2(-8v + 7) + -7v = 3(v + -5) + -8 Reorder the terms: -2(7 + -8v) + -7v = 3(v + -5) + -8 (7 * -2 + -8v * -2) + -7v = 3(v + -5) + -8 (-14 + 16v) + -7v = 3(v + -5) + -8 Combine like terms: 16v + -7v = 9v -14 + 9v = 3(v + -5) + -8 Reorder the terms: -14 + 9v = 3(-5 + v) + -8 -14 + 9v = (-5 * 3 + v * 3) + -8 -14 + 9v = (-15 + 3v) + -8 Reorder the terms: -14 + 9v = -15 + -8 + 3v Combine like terms: -15 + -8 = -23 -14 + 9v = -23 + 3v Solving -14 + 9v = -23 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -14 + 9v + -3v = -23 + 3v + -3v Combine like terms: 9v + -3v = 6v -14 + 6v = -23 + 3v + -3v Combine like terms: 3v + -3v = 0 -14 + 6v = -23 + 0 -14 + 6v = -23 Add '14' to each side of the equation. -14 + 14 + 6v = -23 + 14 Combine like terms: -14 + 14 = 0 0 + 6v = -23 + 14 6v = -23 + 14 Combine like terms: -23 + 14 = -9 6v = -9 Divide each side by '6'. v = -1.5 Simplifying v = -1.5
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