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Simplifying 8(5v + 6) = -1v + -34 Reorder the terms: 8(6 + 5v) = -1v + -34 (6 * 8 + 5v * 8) = -1v + -34 (48 + 40v) = -1v + -34 Reorder the terms: 48 + 40v = -34 + -1v Solving 48 + 40v = -34 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 48 + 40v + v = -34 + -1v + v Combine like terms: 40v + v = 41v 48 + 41v = -34 + -1v + v Combine like terms: -1v + v = 0 48 + 41v = -34 + 0 48 + 41v = -34 Add '-48' to each side of the equation. 48 + -48 + 41v = -34 + -48 Combine like terms: 48 + -48 = 0 0 + 41v = -34 + -48 41v = -34 + -48 Combine like terms: -34 + -48 = -82 41v = -82 Divide each side by '41'. v = -2 Simplifying v = -2
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