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Simplifying 4(1 + 8v) + 5v = -255 (1 * 4 + 8v * 4) + 5v = -255 (4 + 32v) + 5v = -255 Combine like terms: 32v + 5v = 37v 4 + 37v = -255 Solving 4 + 37v = -255 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 37v = -255 + -4 Combine like terms: 4 + -4 = 0 0 + 37v = -255 + -4 37v = -255 + -4 Combine like terms: -255 + -4 = -259 37v = -259 Divide each side by '37'. v = -7 Simplifying v = -7
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