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Simplifying 5(v + 1) = -4(1 + -2v) Reorder the terms: 5(1 + v) = -4(1 + -2v) (1 * 5 + v * 5) = -4(1 + -2v) (5 + 5v) = -4(1 + -2v) 5 + 5v = (1 * -4 + -2v * -4) 5 + 5v = (-4 + 8v) Solving 5 + 5v = -4 + 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 = -4 + 8v + -8v Combine like terms: 5v + -8v = -3v 5 + -3v = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 5 + -3v = -4 + 0 5 + -3v = -4 Add '-5' to each side of the equation. 5 + -5 + -3v = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = -4 + -5 -3v = -4 + -5 Combine like terms: -4 + -5 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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