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Simplifying -4(-5v + 15) + 4 = -19 + 19v + -20 Reorder the terms: -4(15 + -5v) + 4 = -19 + 19v + -20 (15 * -4 + -5v * -4) + 4 = -19 + 19v + -20 (-60 + 20v) + 4 = -19 + 19v + -20 Reorder the terms: -60 + 4 + 20v = -19 + 19v + -20 Combine like terms: -60 + 4 = -56 -56 + 20v = -19 + 19v + -20 Reorder the terms: -56 + 20v = -19 + -20 + 19v Combine like terms: -19 + -20 = -39 -56 + 20v = -39 + 19v Solving -56 + 20v = -39 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -56 + 20v + -19v = -39 + 19v + -19v Combine like terms: 20v + -19v = 1v -56 + 1v = -39 + 19v + -19v Combine like terms: 19v + -19v = 0 -56 + 1v = -39 + 0 -56 + 1v = -39 Add '56' to each side of the equation. -56 + 56 + 1v = -39 + 56 Combine like terms: -56 + 56 = 0 0 + 1v = -39 + 56 1v = -39 + 56 Combine like terms: -39 + 56 = 17 1v = 17 Divide each side by '1'. v = 17 Simplifying v = 17
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