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Simplifying -1(-7v + 5) + -3v = -29 + -8v Reorder the terms: -1(5 + -7v) + -3v = -29 + -8v (5 * -1 + -7v * -1) + -3v = -29 + -8v (-5 + 7v) + -3v = -29 + -8v Combine like terms: 7v + -3v = 4v -5 + 4v = -29 + -8v Solving -5 + 4v = -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. -5 + 4v + 8v = -29 + -8v + 8v Combine like terms: 4v + 8v = 12v -5 + 12v = -29 + -8v + 8v Combine like terms: -8v + 8v = 0 -5 + 12v = -29 + 0 -5 + 12v = -29 Add '5' to each side of the equation. -5 + 5 + 12v = -29 + 5 Combine like terms: -5 + 5 = 0 0 + 12v = -29 + 5 12v = -29 + 5 Combine like terms: -29 + 5 = -24 12v = -24 Divide each side by '12'. v = -2 Simplifying v = -2
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