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Simplifying 5(v + 3) = 12(v + 4) + -29 Reorder the terms: 5(3 + v) = 12(v + 4) + -29 (3 * 5 + v * 5) = 12(v + 4) + -29 (15 + 5v) = 12(v + 4) + -29 Reorder the terms: 15 + 5v = 12(4 + v) + -29 15 + 5v = (4 * 12 + v * 12) + -29 15 + 5v = (48 + 12v) + -29 Reorder the terms: 15 + 5v = 48 + -29 + 12v Combine like terms: 48 + -29 = 19 15 + 5v = 19 + 12v Solving 15 + 5v = 19 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 15 + 5v + -12v = 19 + 12v + -12v Combine like terms: 5v + -12v = -7v 15 + -7v = 19 + 12v + -12v Combine like terms: 12v + -12v = 0 15 + -7v = 19 + 0 15 + -7v = 19 Add '-15' to each side of the equation. 15 + -15 + -7v = 19 + -15 Combine like terms: 15 + -15 = 0 0 + -7v = 19 + -15 -7v = 19 + -15 Combine like terms: 19 + -15 = 4 -7v = 4 Divide each side by '-7'. v = -0.5714285714 Simplifying v = -0.5714285714
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