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Simplifying 7(-8v + 9) = 2(-20v + 18) + -17v Reorder the terms: 7(9 + -8v) = 2(-20v + 18) + -17v (9 * 7 + -8v * 7) = 2(-20v + 18) + -17v (63 + -56v) = 2(-20v + 18) + -17v Reorder the terms: 63 + -56v = 2(18 + -20v) + -17v 63 + -56v = (18 * 2 + -20v * 2) + -17v 63 + -56v = (36 + -40v) + -17v Combine like terms: -40v + -17v = -57v 63 + -56v = 36 + -57v Solving 63 + -56v = 36 + -57v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '57v' to each side of the equation. 63 + -56v + 57v = 36 + -57v + 57v Combine like terms: -56v + 57v = 1v 63 + 1v = 36 + -57v + 57v Combine like terms: -57v + 57v = 0 63 + 1v = 36 + 0 63 + 1v = 36 Add '-63' to each side of the equation. 63 + -63 + 1v = 36 + -63 Combine like terms: 63 + -63 = 0 0 + 1v = 36 + -63 1v = 36 + -63 Combine like terms: 36 + -63 = -27 1v = -27 Divide each side by '1'. v = -27 Simplifying v = -27
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