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Simplifying -9(v + 4) + 2v + 5 = 8v + 12 Reorder the terms: -9(4 + v) + 2v + 5 = 8v + 12 (4 * -9 + v * -9) + 2v + 5 = 8v + 12 (-36 + -9v) + 2v + 5 = 8v + 12 Reorder the terms: -36 + 5 + -9v + 2v = 8v + 12 Combine like terms: -36 + 5 = -31 -31 + -9v + 2v = 8v + 12 Combine like terms: -9v + 2v = -7v -31 + -7v = 8v + 12 Reorder the terms: -31 + -7v = 12 + 8v Solving -31 + -7v = 12 + 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. -31 + -7v + -8v = 12 + 8v + -8v Combine like terms: -7v + -8v = -15v -31 + -15v = 12 + 8v + -8v Combine like terms: 8v + -8v = 0 -31 + -15v = 12 + 0 -31 + -15v = 12 Add '31' to each side of the equation. -31 + 31 + -15v = 12 + 31 Combine like terms: -31 + 31 = 0 0 + -15v = 12 + 31 -15v = 12 + 31 Combine like terms: 12 + 31 = 43 -15v = 43 Divide each side by '-15'. v = -2.866666667 Simplifying v = -2.866666667
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