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Simplifying 29 = 3(v + 3) + -7v Reorder the terms: 29 = 3(3 + v) + -7v 29 = (3 * 3 + v * 3) + -7v 29 = (9 + 3v) + -7v Combine like terms: 3v + -7v = -4v 29 = 9 + -4v Solving 29 = 9 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 29 + 4v = 9 + -4v + 4v Combine like terms: -4v + 4v = 0 29 + 4v = 9 + 0 29 + 4v = 9 Add '-29' to each side of the equation. 29 + -29 + 4v = 9 + -29 Combine like terms: 29 + -29 = 0 0 + 4v = 9 + -29 4v = 9 + -29 Combine like terms: 9 + -29 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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