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Simplifying 8(-7 + -4v) = v + -5(2 + 2v) (-7 * 8 + -4v * 8) = v + -5(2 + 2v) (-56 + -32v) = v + -5(2 + 2v) -56 + -32v = v + (2 * -5 + 2v * -5) -56 + -32v = v + (-10 + -10v) Reorder the terms: -56 + -32v = -10 + v + -10v Combine like terms: v + -10v = -9v -56 + -32v = -10 + -9v Solving -56 + -32v = -10 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -56 + -32v + 9v = -10 + -9v + 9v Combine like terms: -32v + 9v = -23v -56 + -23v = -10 + -9v + 9v Combine like terms: -9v + 9v = 0 -56 + -23v = -10 + 0 -56 + -23v = -10 Add '56' to each side of the equation. -56 + 56 + -23v = -10 + 56 Combine like terms: -56 + 56 = 0 0 + -23v = -10 + 56 -23v = -10 + 56 Combine like terms: -10 + 56 = 46 -23v = 46 Divide each side by '-23'. v = -2 Simplifying v = -2
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