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Simplifying 7v + -3(v + -8) = 8(v + -7) + -8 Reorder the terms: 7v + -3(-8 + v) = 8(v + -7) + -8 7v + (-8 * -3 + v * -3) = 8(v + -7) + -8 7v + (24 + -3v) = 8(v + -7) + -8 Reorder the terms: 24 + 7v + -3v = 8(v + -7) + -8 Combine like terms: 7v + -3v = 4v 24 + 4v = 8(v + -7) + -8 Reorder the terms: 24 + 4v = 8(-7 + v) + -8 24 + 4v = (-7 * 8 + v * 8) + -8 24 + 4v = (-56 + 8v) + -8 Reorder the terms: 24 + 4v = -56 + -8 + 8v Combine like terms: -56 + -8 = -64 24 + 4v = -64 + 8v Solving 24 + 4v = -64 + 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 + 4v + -8v = -64 + 8v + -8v Combine like terms: 4v + -8v = -4v 24 + -4v = -64 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + -4v = -64 + 0 24 + -4v = -64 Add '-24' to each side of the equation. 24 + -24 + -4v = -64 + -24 Combine like terms: 24 + -24 = 0 0 + -4v = -64 + -24 -4v = -64 + -24 Combine like terms: -64 + -24 = -88 -4v = -88 Divide each side by '-4'. v = 22 Simplifying v = 22
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