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Simplifying 29 + 3v = 5(3v + 1) Reorder the terms: 29 + 3v = 5(1 + 3v) 29 + 3v = (1 * 5 + 3v * 5) 29 + 3v = (5 + 15v) Solving 29 + 3v = 5 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 29 + 3v + -15v = 5 + 15v + -15v Combine like terms: 3v + -15v = -12v 29 + -12v = 5 + 15v + -15v Combine like terms: 15v + -15v = 0 29 + -12v = 5 + 0 29 + -12v = 5 Add '-29' to each side of the equation. 29 + -29 + -12v = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -12v = 5 + -29 -12v = 5 + -29 Combine like terms: 5 + -29 = -24 -12v = -24 Divide each side by '-12'. v = 2 Simplifying v = 2
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