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Simplifying 5v + 29 = -6(6v + 2) Reorder the terms: 29 + 5v = -6(6v + 2) Reorder the terms: 29 + 5v = -6(2 + 6v) 29 + 5v = (2 * -6 + 6v * -6) 29 + 5v = (-12 + -36v) Solving 29 + 5v = -12 + -36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36v' to each side of the equation. 29 + 5v + 36v = -12 + -36v + 36v Combine like terms: 5v + 36v = 41v 29 + 41v = -12 + -36v + 36v Combine like terms: -36v + 36v = 0 29 + 41v = -12 + 0 29 + 41v = -12 Add '-29' to each side of the equation. 29 + -29 + 41v = -12 + -29 Combine like terms: 29 + -29 = 0 0 + 41v = -12 + -29 41v = -12 + -29 Combine like terms: -12 + -29 = -41 41v = -41 Divide each side by '41'. v = -1 Simplifying v = -1
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