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Simplifying -9(v + 2) + 2v + 6 = 8v + 7 Reorder the terms: -9(2 + v) + 2v + 6 = 8v + 7 (2 * -9 + v * -9) + 2v + 6 = 8v + 7 (-18 + -9v) + 2v + 6 = 8v + 7 Reorder the terms: -18 + 6 + -9v + 2v = 8v + 7 Combine like terms: -18 + 6 = -12 -12 + -9v + 2v = 8v + 7 Combine like terms: -9v + 2v = -7v -12 + -7v = 8v + 7 Reorder the terms: -12 + -7v = 7 + 8v Solving -12 + -7v = 7 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -12 + -7v + -8v = 7 + 8v + -8v Combine like terms: -7v + -8v = -15v -12 + -15v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -15v = 7 + 0 -12 + -15v = 7 Add '12' to each side of the equation. -12 + 12 + -15v = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -15v = 7 + 12 -15v = 7 + 12 Combine like terms: 7 + 12 = 19 -15v = 19 Divide each side by '-15'. v = -1.266666667 Simplifying v = -1.266666667
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