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Simplifying -9(v + 4) + 2v + 7 = 8v + 11 Reorder the terms: -9(4 + v) + 2v + 7 = 8v + 11 (4 * -9 + v * -9) + 2v + 7 = 8v + 11 (-36 + -9v) + 2v + 7 = 8v + 11 Reorder the terms: -36 + 7 + -9v + 2v = 8v + 11 Combine like terms: -36 + 7 = -29 -29 + -9v + 2v = 8v + 11 Combine like terms: -9v + 2v = -7v -29 + -7v = 8v + 11 Reorder the terms: -29 + -7v = 11 + 8v Solving -29 + -7v = 11 + 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. -29 + -7v + -8v = 11 + 8v + -8v Combine like terms: -7v + -8v = -15v -29 + -15v = 11 + 8v + -8v Combine like terms: 8v + -8v = 0 -29 + -15v = 11 + 0 -29 + -15v = 11 Add '29' to each side of the equation. -29 + 29 + -15v = 11 + 29 Combine like terms: -29 + 29 = 0 0 + -15v = 11 + 29 -15v = 11 + 29 Combine like terms: 11 + 29 = 40 -15v = 40 Divide each side by '-15'. v = -2.666666667 Simplifying v = -2.666666667
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