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Simplifying 4(-8v + 8) = -7(4v + -4) Reorder the terms: 4(8 + -8v) = -7(4v + -4) (8 * 4 + -8v * 4) = -7(4v + -4) (32 + -32v) = -7(4v + -4) Reorder the terms: 32 + -32v = -7(-4 + 4v) 32 + -32v = (-4 * -7 + 4v * -7) 32 + -32v = (28 + -28v) Solving 32 + -32v = 28 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. 32 + -32v + 28v = 28 + -28v + 28v Combine like terms: -32v + 28v = -4v 32 + -4v = 28 + -28v + 28v Combine like terms: -28v + 28v = 0 32 + -4v = 28 + 0 32 + -4v = 28 Add '-32' to each side of the equation. 32 + -32 + -4v = 28 + -32 Combine like terms: 32 + -32 = 0 0 + -4v = 28 + -32 -4v = 28 + -32 Combine like terms: 28 + -32 = -4 -4v = -4 Divide each side by '-4'. v = 1 Simplifying v = 1
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