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Simplifying -256 = 8(1 + 4v) + v -256 = (1 * 8 + 4v * 8) + v -256 = (8 + 32v) + v Combine like terms: 32v + v = 33v -256 = 8 + 33v Solving -256 = 8 + 33v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-33v' to each side of the equation. -256 + -33v = 8 + 33v + -33v Combine like terms: 33v + -33v = 0 -256 + -33v = 8 + 0 -256 + -33v = 8 Add '256' to each side of the equation. -256 + 256 + -33v = 8 + 256 Combine like terms: -256 + 256 = 0 0 + -33v = 8 + 256 -33v = 8 + 256 Combine like terms: 8 + 256 = 264 -33v = 264 Divide each side by '-33'. v = -8 Simplifying v = -8
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