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Simplifying -4(-4u + 4) + -5u = 3(u + -2) + -6 Reorder the terms: -4(4 + -4u) + -5u = 3(u + -2) + -6 (4 * -4 + -4u * -4) + -5u = 3(u + -2) + -6 (-16 + 16u) + -5u = 3(u + -2) + -6 Combine like terms: 16u + -5u = 11u -16 + 11u = 3(u + -2) + -6 Reorder the terms: -16 + 11u = 3(-2 + u) + -6 -16 + 11u = (-2 * 3 + u * 3) + -6 -16 + 11u = (-6 + 3u) + -6 Reorder the terms: -16 + 11u = -6 + -6 + 3u Combine like terms: -6 + -6 = -12 -16 + 11u = -12 + 3u Solving -16 + 11u = -12 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -16 + 11u + -3u = -12 + 3u + -3u Combine like terms: 11u + -3u = 8u -16 + 8u = -12 + 3u + -3u Combine like terms: 3u + -3u = 0 -16 + 8u = -12 + 0 -16 + 8u = -12 Add '16' to each side of the equation. -16 + 16 + 8u = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 8u = -12 + 16 8u = -12 + 16 Combine like terms: -12 + 16 = 4 8u = 4 Divide each side by '8'. u = 0.5 Simplifying u = 0.5
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