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Simplifying 8(-3v + -7) = 20 + -5v Reorder the terms: 8(-7 + -3v) = 20 + -5v (-7 * 8 + -3v * 8) = 20 + -5v (-56 + -24v) = 20 + -5v Solving -56 + -24v = 20 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -56 + -24v + 5v = 20 + -5v + 5v Combine like terms: -24v + 5v = -19v -56 + -19v = 20 + -5v + 5v Combine like terms: -5v + 5v = 0 -56 + -19v = 20 + 0 -56 + -19v = 20 Add '56' to each side of the equation. -56 + 56 + -19v = 20 + 56 Combine like terms: -56 + 56 = 0 0 + -19v = 20 + 56 -19v = 20 + 56 Combine like terms: 20 + 56 = 76 -19v = 76 Divide each side by '-19'. v = -4 Simplifying v = -4
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