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Simplifying -3u + -1(-4v + -4) + (12u + -8) = 0 Reorder the terms: -3u + -1(-4 + -4v) + (12u + -8) = 0 -3u + (-4 * -1 + -4v * -1) + (12u + -8) = 0 -3u + (4 + 4v) + (12u + -8) = 0 Reorder the terms: -3u + 4 + 4v + (-8 + 12u) = 0 Remove parenthesis around (-8 + 12u) -3u + 4 + 4v + -8 + 12u = 0 Reorder the terms: 4 + -8 + -3u + 12u + 4v = 0 Combine like terms: 4 + -8 = -4 -4 + -3u + 12u + 4v = 0 Combine like terms: -3u + 12u = 9u -4 + 9u + 4v = 0 Solving -4 + 9u + 4v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 9u + 4 + 4v = 0 + 4 Reorder the terms: -4 + 4 + 9u + 4v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9u + 4v = 0 + 4 9u + 4v = 0 + 4 Combine like terms: 0 + 4 = 4 9u + 4v = 4 Add '-4v' to each side of the equation. 9u + 4v + -4v = 4 + -4v Combine like terms: 4v + -4v = 0 9u + 0 = 4 + -4v 9u = 4 + -4v Divide each side by '9'. u = 0.4444444444 + -0.4444444444v Simplifying u = 0.4444444444 + -0.4444444444v
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