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Simplifying -9(v + 7) = 7v + 17 Reorder the terms: -9(7 + v) = 7v + 17 (7 * -9 + v * -9) = 7v + 17 (-63 + -9v) = 7v + 17 Reorder the terms: -63 + -9v = 17 + 7v Solving -63 + -9v = 17 + 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. -63 + -9v + -7v = 17 + 7v + -7v Combine like terms: -9v + -7v = -16v -63 + -16v = 17 + 7v + -7v Combine like terms: 7v + -7v = 0 -63 + -16v = 17 + 0 -63 + -16v = 17 Add '63' to each side of the equation. -63 + 63 + -16v = 17 + 63 Combine like terms: -63 + 63 = 0 0 + -16v = 17 + 63 -16v = 17 + 63 Combine like terms: 17 + 63 = 80 -16v = 80 Divide each side by '-16'. v = -5 Simplifying v = -5
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