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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 = -40 -4v = -40 Divide each side by '-4'. v = 10 Simplifying v = 10
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