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Simplifying -5(v + -6) + -4v = -8 + 5(-1v + 2) Reorder the terms: -5(-6 + v) + -4v = -8 + 5(-1v + 2) (-6 * -5 + v * -5) + -4v = -8 + 5(-1v + 2) (30 + -5v) + -4v = -8 + 5(-1v + 2) Combine like terms: -5v + -4v = -9v 30 + -9v = -8 + 5(-1v + 2) Reorder the terms: 30 + -9v = -8 + 5(2 + -1v) 30 + -9v = -8 + (2 * 5 + -1v * 5) 30 + -9v = -8 + (10 + -5v) Combine like terms: -8 + 10 = 2 30 + -9v = 2 + -5v Solving 30 + -9v = 2 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 30 + -9v + 5v = 2 + -5v + 5v Combine like terms: -9v + 5v = -4v 30 + -4v = 2 + -5v + 5v Combine like terms: -5v + 5v = 0 30 + -4v = 2 + 0 30 + -4v = 2 Add '-30' to each side of the equation. 30 + -30 + -4v = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -4v = 2 + -30 -4v = 2 + -30 Combine like terms: 2 + -30 = -28 -4v = -28 Divide each side by '-4'. v = 7 Simplifying v = 7
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