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Simplifying 8(2 + -8v) + 7 = -41 (2 * 8 + -8v * 8) + 7 = -41 (16 + -64v) + 7 = -41 Reorder the terms: 16 + 7 + -64v = -41 Combine like terms: 16 + 7 = 23 23 + -64v = -41 Solving 23 + -64v = -41 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -64v = -41 + -23 Combine like terms: 23 + -23 = 0 0 + -64v = -41 + -23 -64v = -41 + -23 Combine like terms: -41 + -23 = -64 -64v = -64 Divide each side by '-64'. v = 1 Simplifying v = 1
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