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Simplifying -3(-5u + 6) + -3u = 4(u + -6) + -8 Reorder the terms: -3(6 + -5u) + -3u = 4(u + -6) + -8 (6 * -3 + -5u * -3) + -3u = 4(u + -6) + -8 (-18 + 15u) + -3u = 4(u + -6) + -8 Combine like terms: 15u + -3u = 12u -18 + 12u = 4(u + -6) + -8 Reorder the terms: -18 + 12u = 4(-6 + u) + -8 -18 + 12u = (-6 * 4 + u * 4) + -8 -18 + 12u = (-24 + 4u) + -8 Reorder the terms: -18 + 12u = -24 + -8 + 4u Combine like terms: -24 + -8 = -32 -18 + 12u = -32 + 4u Solving -18 + 12u = -32 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -18 + 12u + -4u = -32 + 4u + -4u Combine like terms: 12u + -4u = 8u -18 + 8u = -32 + 4u + -4u Combine like terms: 4u + -4u = 0 -18 + 8u = -32 + 0 -18 + 8u = -32 Add '18' to each side of the equation. -18 + 18 + 8u = -32 + 18 Combine like terms: -18 + 18 = 0 0 + 8u = -32 + 18 8u = -32 + 18 Combine like terms: -32 + 18 = -14 8u = -14 Divide each side by '8'. u = -1.75 Simplifying u = -1.75
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