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Simplifying -8(-7v + -4) = -32 + -8v Reorder the terms: -8(-4 + -7v) = -32 + -8v (-4 * -8 + -7v * -8) = -32 + -8v (32 + 56v) = -32 + -8v Solving 32 + 56v = -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. 32 + 56v + 8v = -32 + -8v + 8v Combine like terms: 56v + 8v = 64v 32 + 64v = -32 + -8v + 8v Combine like terms: -8v + 8v = 0 32 + 64v = -32 + 0 32 + 64v = -32 Add '-32' to each side of the equation. 32 + -32 + 64v = -32 + -32 Combine like terms: 32 + -32 = 0 0 + 64v = -32 + -32 64v = -32 + -32 Combine like terms: -32 + -32 = -64 64v = -64 Divide each side by '64'. v = -1 Simplifying v = -1
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