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