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Simplifying -4(5v + 1) + -2 = -2v + -24 Reorder the terms: -4(1 + 5v) + -2 = -2v + -24 (1 * -4 + 5v * -4) + -2 = -2v + -24 (-4 + -20v) + -2 = -2v + -24 Reorder the terms: -4 + -2 + -20v = -2v + -24 Combine like terms: -4 + -2 = -6 -6 + -20v = -2v + -24 Reorder the terms: -6 + -20v = -24 + -2v Solving -6 + -20v = -24 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -6 + -20v + 2v = -24 + -2v + 2v Combine like terms: -20v + 2v = -18v -6 + -18v = -24 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + -18v = -24 + 0 -6 + -18v = -24 Add '6' to each side of the equation. -6 + 6 + -18v = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -18v = -24 + 6 -18v = -24 + 6 Combine like terms: -24 + 6 = -18 -18v = -18 Divide each side by '-18'. v = 1 Simplifying v = 1
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