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Simplifying -24 = 5(4v + -5) + -1(2v + -1) Reorder the terms: -24 = 5(-5 + 4v) + -1(2v + -1) -24 = (-5 * 5 + 4v * 5) + -1(2v + -1) -24 = (-25 + 20v) + -1(2v + -1) Reorder the terms: -24 = -25 + 20v + -1(-1 + 2v) -24 = -25 + 20v + (-1 * -1 + 2v * -1) -24 = -25 + 20v + (1 + -2v) Reorder the terms: -24 = -25 + 1 + 20v + -2v Combine like terms: -25 + 1 = -24 -24 = -24 + 20v + -2v Combine like terms: 20v + -2v = 18v -24 = -24 + 18v Add '24' to each side of the equation. -24 + 24 = -24 + 24 + 18v Combine like terms: -24 + 24 = 0 0 = -24 + 24 + 18v Combine like terms: -24 + 24 = 0 0 = 0 + 18v 0 = 18v Solving 0 = 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. 0 + -18v = 18v + -18v Remove the zero: -18v = 18v + -18v Combine like terms: 18v + -18v = 0 -18v = 0 Divide each side by '-18'. v = 0 Simplifying v = 0
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