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Simplifying -29 = 5(v + -4) + -8v Reorder the terms: -29 = 5(-4 + v) + -8v -29 = (-4 * 5 + v * 5) + -8v -29 = (-20 + 5v) + -8v Combine like terms: 5v + -8v = -3v -29 = -20 + -3v Solving -29 = -20 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -29 + 3v = -20 + -3v + 3v Combine like terms: -3v + 3v = 0 -29 + 3v = -20 + 0 -29 + 3v = -20 Add '29' to each side of the equation. -29 + 29 + 3v = -20 + 29 Combine like terms: -29 + 29 = 0 0 + 3v = -20 + 29 3v = -20 + 29 Combine like terms: -20 + 29 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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