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Simplifying 7(1 + -2v) + -5(-1v + 3) = -17 (1 * 7 + -2v * 7) + -5(-1v + 3) = -17 (7 + -14v) + -5(-1v + 3) = -17 Reorder the terms: 7 + -14v + -5(3 + -1v) = -17 7 + -14v + (3 * -5 + -1v * -5) = -17 7 + -14v + (-15 + 5v) = -17 Reorder the terms: 7 + -15 + -14v + 5v = -17 Combine like terms: 7 + -15 = -8 -8 + -14v + 5v = -17 Combine like terms: -14v + 5v = -9v -8 + -9v = -17 Solving -8 + -9v = -17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9v = -17 + 8 Combine like terms: -8 + 8 = 0 0 + -9v = -17 + 8 -9v = -17 + 8 Combine like terms: -17 + 8 = -9 -9v = -9 Divide each side by '-9'. v = 1 Simplifying v = 1
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