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Simplifying -5v + 29 = 8(-1v + 4) Reorder the terms: 29 + -5v = 8(-1v + 4) Reorder the terms: 29 + -5v = 8(4 + -1v) 29 + -5v = (4 * 8 + -1v * 8) 29 + -5v = (32 + -8v) Solving 29 + -5v = 32 + -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. 29 + -5v + 8v = 32 + -8v + 8v Combine like terms: -5v + 8v = 3v 29 + 3v = 32 + -8v + 8v Combine like terms: -8v + 8v = 0 29 + 3v = 32 + 0 29 + 3v = 32 Add '-29' to each side of the equation. 29 + -29 + 3v = 32 + -29 Combine like terms: 29 + -29 = 0 0 + 3v = 32 + -29 3v = 32 + -29 Combine like terms: 32 + -29 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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