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Simplifying 257 = 5 + -4(1 + 8v) 257 = 5 + (1 * -4 + 8v * -4) 257 = 5 + (-4 + -32v) Combine like terms: 5 + -4 = 1 257 = 1 + -32v Solving 257 = 1 + -32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32v' to each side of the equation. 257 + 32v = 1 + -32v + 32v Combine like terms: -32v + 32v = 0 257 + 32v = 1 + 0 257 + 32v = 1 Add '-257' to each side of the equation. 257 + -257 + 32v = 1 + -257 Combine like terms: 257 + -257 = 0 0 + 32v = 1 + -257 32v = 1 + -257 Combine like terms: 1 + -257 = -256 32v = -256 Divide each side by '32'. v = -8 Simplifying v = -8
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