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Simplifying -2 + -8(7 + 4v) = -282 -2 + (7 * -8 + 4v * -8) = -282 -2 + (-56 + -32v) = -282 Combine like terms: -2 + -56 = -58 -58 + -32v = -282 Solving -58 + -32v = -282 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -32v = -282 + 58 Combine like terms: -58 + 58 = 0 0 + -32v = -282 + 58 -32v = -282 + 58 Combine like terms: -282 + 58 = -224 -32v = -224 Divide each side by '-32'. v = 7 Simplifying v = 7
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