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Simplifying 3(v + 9) + -10 = -8(v + -1) + -2 Reorder the terms: 3(9 + v) + -10 = -8(v + -1) + -2 (9 * 3 + v * 3) + -10 = -8(v + -1) + -2 (27 + 3v) + -10 = -8(v + -1) + -2 Reorder the terms: 27 + -10 + 3v = -8(v + -1) + -2 Combine like terms: 27 + -10 = 17 17 + 3v = -8(v + -1) + -2 Reorder the terms: 17 + 3v = -8(-1 + v) + -2 17 + 3v = (-1 * -8 + v * -8) + -2 17 + 3v = (8 + -8v) + -2 Reorder the terms: 17 + 3v = 8 + -2 + -8v Combine like terms: 8 + -2 = 6 17 + 3v = 6 + -8v Solving 17 + 3v = 6 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 17 + 3v + 8v = 6 + -8v + 8v Combine like terms: 3v + 8v = 11v 17 + 11v = 6 + -8v + 8v Combine like terms: -8v + 8v = 0 17 + 11v = 6 + 0 17 + 11v = 6 Add '-17' to each side of the equation. 17 + -17 + 11v = 6 + -17 Combine like terms: 17 + -17 = 0 0 + 11v = 6 + -17 11v = 6 + -17 Combine like terms: 6 + -17 = -11 11v = -11 Divide each side by '11'. v = -1 Simplifying v = -1
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