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Simplifying 17 + -2v = 7(v + 8) + 6 Reorder the terms: 17 + -2v = 7(8 + v) + 6 17 + -2v = (8 * 7 + v * 7) + 6 17 + -2v = (56 + 7v) + 6 Reorder the terms: 17 + -2v = 56 + 6 + 7v Combine like terms: 56 + 6 = 62 17 + -2v = 62 + 7v Solving 17 + -2v = 62 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 17 + -2v + -7v = 62 + 7v + -7v Combine like terms: -2v + -7v = -9v 17 + -9v = 62 + 7v + -7v Combine like terms: 7v + -7v = 0 17 + -9v = 62 + 0 17 + -9v = 62 Add '-17' to each side of the equation. 17 + -17 + -9v = 62 + -17 Combine like terms: 17 + -17 = 0 0 + -9v = 62 + -17 -9v = 62 + -17 Combine like terms: 62 + -17 = 45 -9v = 45 Divide each side by '-9'. v = -5 Simplifying v = -5
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