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Simplifying 8(v + 4) + -2 = 3(2v + 3) + -17 Reorder the terms: 8(4 + v) + -2 = 3(2v + 3) + -17 (4 * 8 + v * 8) + -2 = 3(2v + 3) + -17 (32 + 8v) + -2 = 3(2v + 3) + -17 Reorder the terms: 32 + -2 + 8v = 3(2v + 3) + -17 Combine like terms: 32 + -2 = 30 30 + 8v = 3(2v + 3) + -17 Reorder the terms: 30 + 8v = 3(3 + 2v) + -17 30 + 8v = (3 * 3 + 2v * 3) + -17 30 + 8v = (9 + 6v) + -17 Reorder the terms: 30 + 8v = 9 + -17 + 6v Combine like terms: 9 + -17 = -8 30 + 8v = -8 + 6v Solving 30 + 8v = -8 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 30 + 8v + -6v = -8 + 6v + -6v Combine like terms: 8v + -6v = 2v 30 + 2v = -8 + 6v + -6v Combine like terms: 6v + -6v = 0 30 + 2v = -8 + 0 30 + 2v = -8 Add '-30' to each side of the equation. 30 + -30 + 2v = -8 + -30 Combine like terms: 30 + -30 = 0 0 + 2v = -8 + -30 2v = -8 + -30 Combine like terms: -8 + -30 = -38 2v = -38 Divide each side by '2'. v = -19 Simplifying v = -19
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