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Simplifying -29 + -4v = 1 + -3(2v + 6) Reorder the terms: -29 + -4v = 1 + -3(6 + 2v) -29 + -4v = 1 + (6 * -3 + 2v * -3) -29 + -4v = 1 + (-18 + -6v) Combine like terms: 1 + -18 = -17 -29 + -4v = -17 + -6v Solving -29 + -4v = -17 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -29 + -4v + 6v = -17 + -6v + 6v Combine like terms: -4v + 6v = 2v -29 + 2v = -17 + -6v + 6v Combine like terms: -6v + 6v = 0 -29 + 2v = -17 + 0 -29 + 2v = -17 Add '29' to each side of the equation. -29 + 29 + 2v = -17 + 29 Combine like terms: -29 + 29 = 0 0 + 2v = -17 + 29 2v = -17 + 29 Combine like terms: -17 + 29 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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