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Simplifying -29 = 3(v + -6) + 8v Reorder the terms: -29 = 3(-6 + v) + 8v -29 = (-6 * 3 + v * 3) + 8v -29 = (-18 + 3v) + 8v Combine like terms: 3v + 8v = 11v -29 = -18 + 11v Solving -29 = -18 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -29 + -11v = -18 + 11v + -11v Combine like terms: 11v + -11v = 0 -29 + -11v = -18 + 0 -29 + -11v = -18 Add '29' to each side of the equation. -29 + 29 + -11v = -18 + 29 Combine like terms: -29 + 29 = 0 0 + -11v = -18 + 29 -11v = -18 + 29 Combine like terms: -18 + 29 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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