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Simplifying -2(-9v + 7) + -8v = 2(v + -7) + -2 Reorder the terms: -2(7 + -9v) + -8v = 2(v + -7) + -2 (7 * -2 + -9v * -2) + -8v = 2(v + -7) + -2 (-14 + 18v) + -8v = 2(v + -7) + -2 Combine like terms: 18v + -8v = 10v -14 + 10v = 2(v + -7) + -2 Reorder the terms: -14 + 10v = 2(-7 + v) + -2 -14 + 10v = (-7 * 2 + v * 2) + -2 -14 + 10v = (-14 + 2v) + -2 Reorder the terms: -14 + 10v = -14 + -2 + 2v Combine like terms: -14 + -2 = -16 -14 + 10v = -16 + 2v Solving -14 + 10v = -16 + 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. -14 + 10v + -2v = -16 + 2v + -2v Combine like terms: 10v + -2v = 8v -14 + 8v = -16 + 2v + -2v Combine like terms: 2v + -2v = 0 -14 + 8v = -16 + 0 -14 + 8v = -16 Add '14' to each side of the equation. -14 + 14 + 8v = -16 + 14 Combine like terms: -14 + 14 = 0 0 + 8v = -16 + 14 8v = -16 + 14 Combine like terms: -16 + 14 = -2 8v = -2 Divide each side by '8'. v = -0.25 Simplifying v = -0.25
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