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Simplifying -4(u + 1) = 2u + -4 + 3(3u + 4) Reorder the terms: -4(1 + u) = 2u + -4 + 3(3u + 4) (1 * -4 + u * -4) = 2u + -4 + 3(3u + 4) (-4 + -4u) = 2u + -4 + 3(3u + 4) Reorder the terms: -4 + -4u = 2u + -4 + 3(4 + 3u) -4 + -4u = 2u + -4 + (4 * 3 + 3u * 3) -4 + -4u = 2u + -4 + (12 + 9u) Reorder the terms: -4 + -4u = -4 + 12 + 2u + 9u Combine like terms: -4 + 12 = 8 -4 + -4u = 8 + 2u + 9u Combine like terms: 2u + 9u = 11u -4 + -4u = 8 + 11u Solving -4 + -4u = 8 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -4 + -4u + -11u = 8 + 11u + -11u Combine like terms: -4u + -11u = -15u -4 + -15u = 8 + 11u + -11u Combine like terms: 11u + -11u = 0 -4 + -15u = 8 + 0 -4 + -15u = 8 Add '4' to each side of the equation. -4 + 4 + -15u = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -15u = 8 + 4 -15u = 8 + 4 Combine like terms: 8 + 4 = 12 -15u = 12 Divide each side by '-15'. u = -0.8 Simplifying u = -0.8
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