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Simplifying 8(1 + -4v) + -7v = 39 + -8v (1 * 8 + -4v * 8) + -7v = 39 + -8v (8 + -32v) + -7v = 39 + -8v Combine like terms: -32v + -7v = -39v 8 + -39v = 39 + -8v Solving 8 + -39v = 39 + -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. 8 + -39v + 8v = 39 + -8v + 8v Combine like terms: -39v + 8v = -31v 8 + -31v = 39 + -8v + 8v Combine like terms: -8v + 8v = 0 8 + -31v = 39 + 0 8 + -31v = 39 Add '-8' to each side of the equation. 8 + -8 + -31v = 39 + -8 Combine like terms: 8 + -8 = 0 0 + -31v = 39 + -8 -31v = 39 + -8 Combine like terms: 39 + -8 = 31 -31v = 31 Divide each side by '-31'. v = -1 Simplifying v = -1
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