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Simplifying -3(4u + -6) + 8u = 4(u + 7) Reorder the terms: -3(-6 + 4u) + 8u = 4(u + 7) (-6 * -3 + 4u * -3) + 8u = 4(u + 7) (18 + -12u) + 8u = 4(u + 7) Combine like terms: -12u + 8u = -4u 18 + -4u = 4(u + 7) Reorder the terms: 18 + -4u = 4(7 + u) 18 + -4u = (7 * 4 + u * 4) 18 + -4u = (28 + 4u) Solving 18 + -4u = 28 + 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 + -4u + -4u = 28 + 4u + -4u Combine like terms: -4u + -4u = -8u 18 + -8u = 28 + 4u + -4u Combine like terms: 4u + -4u = 0 18 + -8u = 28 + 0 18 + -8u = 28 Add '-18' to each side of the equation. 18 + -18 + -8u = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -8u = 28 + -18 -8u = 28 + -18 Combine like terms: 28 + -18 = 10 -8u = 10 Divide each side by '-8'. u = -1.25 Simplifying u = -1.25
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