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Simplifying 5(1 + 4v) = -3(v + 6) (1 * 5 + 4v * 5) = -3(v + 6) (5 + 20v) = -3(v + 6) Reorder the terms: 5 + 20v = -3(6 + v) 5 + 20v = (6 * -3 + v * -3) 5 + 20v = (-18 + -3v) Solving 5 + 20v = -18 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 5 + 20v + 3v = -18 + -3v + 3v Combine like terms: 20v + 3v = 23v 5 + 23v = -18 + -3v + 3v Combine like terms: -3v + 3v = 0 5 + 23v = -18 + 0 5 + 23v = -18 Add '-5' to each side of the equation. 5 + -5 + 23v = -18 + -5 Combine like terms: 5 + -5 = 0 0 + 23v = -18 + -5 23v = -18 + -5 Combine like terms: -18 + -5 = -23 23v = -23 Divide each side by '23'. v = -1 Simplifying v = -1
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