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Simplifying 29 = 4(v + 2) + -7v Reorder the terms: 29 = 4(2 + v) + -7v 29 = (2 * 4 + v * 4) + -7v 29 = (8 + 4v) + -7v Combine like terms: 4v + -7v = -3v 29 = 8 + -3v Solving 29 = 8 + -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 = 8 + -3v + 3v Combine like terms: -3v + 3v = 0 29 + 3v = 8 + 0 29 + 3v = 8 Add '-29' to each side of the equation. 29 + -29 + 3v = 8 + -29 Combine like terms: 29 + -29 = 0 0 + 3v = 8 + -29 3v = 8 + -29 Combine like terms: 8 + -29 = -21 3v = -21 Divide each side by '3'. v = -7 Simplifying v = -7
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