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Simplifying 7v + -17 = 9(v + -1) Reorder the terms: -17 + 7v = 9(v + -1) Reorder the terms: -17 + 7v = 9(-1 + v) -17 + 7v = (-1 * 9 + v * 9) -17 + 7v = (-9 + 9v) Solving -17 + 7v = -9 + 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. -17 + 7v + -9v = -9 + 9v + -9v Combine like terms: 7v + -9v = -2v -17 + -2v = -9 + 9v + -9v Combine like terms: 9v + -9v = 0 -17 + -2v = -9 + 0 -17 + -2v = -9 Add '17' to each side of the equation. -17 + 17 + -2v = -9 + 17 Combine like terms: -17 + 17 = 0 0 + -2v = -9 + 17 -2v = -9 + 17 Combine like terms: -9 + 17 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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