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Simplifying 15 = -7 + 9(v + -6) Reorder the terms: 15 = -7 + 9(-6 + v) 15 = -7 + (-6 * 9 + v * 9) 15 = -7 + (-54 + 9v) Combine like terms: -7 + -54 = -61 15 = -61 + 9v Solving 15 = -61 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 15 + -9v = -61 + 9v + -9v Combine like terms: 9v + -9v = 0 15 + -9v = -61 + 0 15 + -9v = -61 Add '-15' to each side of the equation. 15 + -15 + -9v = -61 + -15 Combine like terms: 15 + -15 = 0 0 + -9v = -61 + -15 -9v = -61 + -15 Combine like terms: -61 + -15 = -76 -9v = -76 Divide each side by '-9'. v = 8.444444444 Simplifying v = 8.444444444
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