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Simplifying -3(v + 3) = -8v + -29 Reorder the terms: -3(3 + v) = -8v + -29 (3 * -3 + v * -3) = -8v + -29 (-9 + -3v) = -8v + -29 Reorder the terms: -9 + -3v = -29 + -8v Solving -9 + -3v = -29 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -9 + -3v + 8v = -29 + -8v + 8v Combine like terms: -3v + 8v = 5v -9 + 5v = -29 + -8v + 8v Combine like terms: -8v + 8v = 0 -9 + 5v = -29 + 0 -9 + 5v = -29 Add '9' to each side of the equation. -9 + 9 + 5v = -29 + 9 Combine like terms: -9 + 9 = 0 0 + 5v = -29 + 9 5v = -29 + 9 Combine like terms: -29 + 9 = -20 5v = -20 Divide each side by '5'. v = -4 Simplifying v = -4
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