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Simplifying -7(v + 8) = 9v + 40 Reorder the terms: -7(8 + v) = 9v + 40 (8 * -7 + v * -7) = 9v + 40 (-56 + -7v) = 9v + 40 Reorder the terms: -56 + -7v = 40 + 9v Solving -56 + -7v = 40 + 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 + -7v + -9v = 40 + 9v + -9v Combine like terms: -7v + -9v = -16v -56 + -16v = 40 + 9v + -9v Combine like terms: 9v + -9v = 0 -56 + -16v = 40 + 0 -56 + -16v = 40 Add '56' to each side of the equation. -56 + 56 + -16v = 40 + 56 Combine like terms: -56 + 56 = 0 0 + -16v = 40 + 56 -16v = 40 + 56 Combine like terms: 40 + 56 = 96 -16v = 96 Divide each side by '-16'. v = -6 Simplifying v = -6
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