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Simplifying -8(v + -8) = -2v + 46 Reorder the terms: -8(-8 + v) = -2v + 46 (-8 * -8 + v * -8) = -2v + 46 (64 + -8v) = -2v + 46 Reorder the terms: 64 + -8v = 46 + -2v Solving 64 + -8v = 46 + -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. 64 + -8v + 2v = 46 + -2v + 2v Combine like terms: -8v + 2v = -6v 64 + -6v = 46 + -2v + 2v Combine like terms: -2v + 2v = 0 64 + -6v = 46 + 0 64 + -6v = 46 Add '-64' to each side of the equation. 64 + -64 + -6v = 46 + -64 Combine like terms: 64 + -64 = 0 0 + -6v = 46 + -64 -6v = 46 + -64 Combine like terms: 46 + -64 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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