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Simplifying -7(v + 8) = -2v + -36 Reorder the terms: -7(8 + v) = -2v + -36 (8 * -7 + v * -7) = -2v + -36 (-56 + -7v) = -2v + -36 Reorder the terms: -56 + -7v = -36 + -2v Solving -56 + -7v = -36 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -56 + -7v + 2v = -36 + -2v + 2v Combine like terms: -7v + 2v = -5v -56 + -5v = -36 + -2v + 2v Combine like terms: -2v + 2v = 0 -56 + -5v = -36 + 0 -56 + -5v = -36 Add '56' to each side of the equation. -56 + 56 + -5v = -36 + 56 Combine like terms: -56 + 56 = 0 0 + -5v = -36 + 56 -5v = -36 + 56 Combine like terms: -36 + 56 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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