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Simplifying -29 + 8v = 6(v + -6) + -5 Reorder the terms: -29 + 8v = 6(-6 + v) + -5 -29 + 8v = (-6 * 6 + v * 6) + -5 -29 + 8v = (-36 + 6v) + -5 Reorder the terms: -29 + 8v = -36 + -5 + 6v Combine like terms: -36 + -5 = -41 -29 + 8v = -41 + 6v Solving -29 + 8v = -41 + 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 + 8v + -6v = -41 + 6v + -6v Combine like terms: 8v + -6v = 2v -29 + 2v = -41 + 6v + -6v Combine like terms: 6v + -6v = 0 -29 + 2v = -41 + 0 -29 + 2v = -41 Add '29' to each side of the equation. -29 + 29 + 2v = -41 + 29 Combine like terms: -29 + 29 = 0 0 + 2v = -41 + 29 2v = -41 + 29 Combine like terms: -41 + 29 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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