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Simplifying 8(v + 2) + -1v = 3(v + -1) + 9 Reorder the terms: 8(2 + v) + -1v = 3(v + -1) + 9 (2 * 8 + v * 8) + -1v = 3(v + -1) + 9 (16 + 8v) + -1v = 3(v + -1) + 9 Combine like terms: 8v + -1v = 7v 16 + 7v = 3(v + -1) + 9 Reorder the terms: 16 + 7v = 3(-1 + v) + 9 16 + 7v = (-1 * 3 + v * 3) + 9 16 + 7v = (-3 + 3v) + 9 Reorder the terms: 16 + 7v = -3 + 9 + 3v Combine like terms: -3 + 9 = 6 16 + 7v = 6 + 3v Solving 16 + 7v = 6 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 16 + 7v + -3v = 6 + 3v + -3v Combine like terms: 7v + -3v = 4v 16 + 4v = 6 + 3v + -3v Combine like terms: 3v + -3v = 0 16 + 4v = 6 + 0 16 + 4v = 6 Add '-16' to each side of the equation. 16 + -16 + 4v = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 4v = 6 + -16 4v = 6 + -16 Combine like terms: 6 + -16 = -10 4v = -10 Divide each side by '4'. v = -2.5 Simplifying v = -2.5
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