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Simplifying 7 + -8(-4v + 1) = -129 Reorder the terms: 7 + -8(1 + -4v) = -129 7 + (1 * -8 + -4v * -8) = -129 7 + (-8 + 32v) = -129 Combine like terms: 7 + -8 = -1 -1 + 32v = -129 Solving -1 + 32v = -129 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 32v = -129 + 1 Combine like terms: -1 + 1 = 0 0 + 32v = -129 + 1 32v = -129 + 1 Combine like terms: -129 + 1 = -128 32v = -128 Divide each side by '32'. v = -4 Simplifying v = -4
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