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Simplifying -9(v + 8) = 7v + -8 Reorder the terms: -9(8 + v) = 7v + -8 (8 * -9 + v * -9) = 7v + -8 (-72 + -9v) = 7v + -8 Reorder the terms: -72 + -9v = -8 + 7v Solving -72 + -9v = -8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -72 + -9v + -7v = -8 + 7v + -7v Combine like terms: -9v + -7v = -16v -72 + -16v = -8 + 7v + -7v Combine like terms: 7v + -7v = 0 -72 + -16v = -8 + 0 -72 + -16v = -8 Add '72' to each side of the equation. -72 + 72 + -16v = -8 + 72 Combine like terms: -72 + 72 = 0 0 + -16v = -8 + 72 -16v = -8 + 72 Combine like terms: -8 + 72 = 64 -16v = 64 Divide each side by '-16'. v = -4 Simplifying v = -4
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