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Simplifying 8(5 + -2v) + -8 = 3v + 13 (5 * 8 + -2v * 8) + -8 = 3v + 13 (40 + -16v) + -8 = 3v + 13 Reorder the terms: 40 + -8 + -16v = 3v + 13 Combine like terms: 40 + -8 = 32 32 + -16v = 3v + 13 Reorder the terms: 32 + -16v = 13 + 3v Solving 32 + -16v = 13 + 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. 32 + -16v + -3v = 13 + 3v + -3v Combine like terms: -16v + -3v = -19v 32 + -19v = 13 + 3v + -3v Combine like terms: 3v + -3v = 0 32 + -19v = 13 + 0 32 + -19v = 13 Add '-32' to each side of the equation. 32 + -32 + -19v = 13 + -32 Combine like terms: 32 + -32 = 0 0 + -19v = 13 + -32 -19v = 13 + -32 Combine like terms: 13 + -32 = -19 -19v = -19 Divide each side by '-19'. v = 1 Simplifying v = 1
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