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Simplifying -7 + 6(v + 8) = 17 + -2v Reorder the terms: -7 + 6(8 + v) = 17 + -2v -7 + (8 * 6 + v * 6) = 17 + -2v -7 + (48 + 6v) = 17 + -2v Combine like terms: -7 + 48 = 41 41 + 6v = 17 + -2v Solving 41 + 6v = 17 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 41 + 6v + 2v = 17 + -2v + 2v Combine like terms: 6v + 2v = 8v 41 + 8v = 17 + -2v + 2v Combine like terms: -2v + 2v = 0 41 + 8v = 17 + 0 41 + 8v = 17 Add '-41' to each side of the equation. 41 + -41 + 8v = 17 + -41 Combine like terms: 41 + -41 = 0 0 + 8v = 17 + -41 8v = 17 + -41 Combine like terms: 17 + -41 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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