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Simplifying -8v + 24 = 8(v + -7) Reorder the terms: 24 + -8v = 8(v + -7) Reorder the terms: 24 + -8v = 8(-7 + v) 24 + -8v = (-7 * 8 + v * 8) 24 + -8v = (-56 + 8v) Solving 24 + -8v = -56 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 24 + -8v + -8v = -56 + 8v + -8v Combine like terms: -8v + -8v = -16v 24 + -16v = -56 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + -16v = -56 + 0 24 + -16v = -56 Add '-24' to each side of the equation. 24 + -24 + -16v = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -16v = -56 + -24 -16v = -56 + -24 Combine like terms: -56 + -24 = -80 -16v = -80 Divide each side by '-16'. v = 5 Simplifying v = 5
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