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Simplifying -5(-1v + 2) + 15 = -20 + 8v + -20 Reorder the terms: -5(2 + -1v) + 15 = -20 + 8v + -20 (2 * -5 + -1v * -5) + 15 = -20 + 8v + -20 (-10 + 5v) + 15 = -20 + 8v + -20 Reorder the terms: -10 + 15 + 5v = -20 + 8v + -20 Combine like terms: -10 + 15 = 5 5 + 5v = -20 + 8v + -20 Reorder the terms: 5 + 5v = -20 + -20 + 8v Combine like terms: -20 + -20 = -40 5 + 5v = -40 + 8v Solving 5 + 5v = -40 + 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 + 5v + -8v = -40 + 8v + -8v Combine like terms: 5v + -8v = -3v 5 + -3v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 5 + -3v = -40 + 0 5 + -3v = -40 Add '-5' to each side of the equation. 5 + -5 + -3v = -40 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = -40 + -5 -3v = -40 + -5 Combine like terms: -40 + -5 = -45 -3v = -45 Divide each side by '-3'. v = 15 Simplifying v = 15
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