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Simplifying 8(v + -7) = -9v + 12 Reorder the terms: 8(-7 + v) = -9v + 12 (-7 * 8 + v * 8) = -9v + 12 (-56 + 8v) = -9v + 12 Reorder the terms: -56 + 8v = 12 + -9v Solving -56 + 8v = 12 + -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 + 8v + 9v = 12 + -9v + 9v Combine like terms: 8v + 9v = 17v -56 + 17v = 12 + -9v + 9v Combine like terms: -9v + 9v = 0 -56 + 17v = 12 + 0 -56 + 17v = 12 Add '56' to each side of the equation. -56 + 56 + 17v = 12 + 56 Combine like terms: -56 + 56 = 0 0 + 17v = 12 + 56 17v = 12 + 56 Combine like terms: 12 + 56 = 68 17v = 68 Divide each side by '17'. v = 4 Simplifying v = 4
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