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Simplifying 8(5v + 8) = -8(-1v + 4) Reorder the terms: 8(8 + 5v) = -8(-1v + 4) (8 * 8 + 5v * 8) = -8(-1v + 4) (64 + 40v) = -8(-1v + 4) Reorder the terms: 64 + 40v = -8(4 + -1v) 64 + 40v = (4 * -8 + -1v * -8) 64 + 40v = (-32 + 8v) Solving 64 + 40v = -32 + 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. 64 + 40v + -8v = -32 + 8v + -8v Combine like terms: 40v + -8v = 32v 64 + 32v = -32 + 8v + -8v Combine like terms: 8v + -8v = 0 64 + 32v = -32 + 0 64 + 32v = -32 Add '-64' to each side of the equation. 64 + -64 + 32v = -32 + -64 Combine like terms: 64 + -64 = 0 0 + 32v = -32 + -64 32v = -32 + -64 Combine like terms: -32 + -64 = -96 32v = -96 Divide each side by '32'. v = -3 Simplifying v = -3
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