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Simplifying -7v + -31 = 9(v + -7) Reorder the terms: -31 + -7v = 9(v + -7) Reorder the terms: -31 + -7v = 9(-7 + v) -31 + -7v = (-7 * 9 + v * 9) -31 + -7v = (-63 + 9v) Solving -31 + -7v = -63 + 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. -31 + -7v + -9v = -63 + 9v + -9v Combine like terms: -7v + -9v = -16v -31 + -16v = -63 + 9v + -9v Combine like terms: 9v + -9v = 0 -31 + -16v = -63 + 0 -31 + -16v = -63 Add '31' to each side of the equation. -31 + 31 + -16v = -63 + 31 Combine like terms: -31 + 31 = 0 0 + -16v = -63 + 31 -16v = -63 + 31 Combine like terms: -63 + 31 = -32 -16v = -32 Divide each side by '-16'. v = 2 Simplifying v = 2
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