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Simplifying -3(5u + -4) + 7u = 4(u + 7) Reorder the terms: -3(-4 + 5u) + 7u = 4(u + 7) (-4 * -3 + 5u * -3) + 7u = 4(u + 7) (12 + -15u) + 7u = 4(u + 7) Combine like terms: -15u + 7u = -8u 12 + -8u = 4(u + 7) Reorder the terms: 12 + -8u = 4(7 + u) 12 + -8u = (7 * 4 + u * 4) 12 + -8u = (28 + 4u) Solving 12 + -8u = 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. 12 + -8u + -4u = 28 + 4u + -4u Combine like terms: -8u + -4u = -12u 12 + -12u = 28 + 4u + -4u Combine like terms: 4u + -4u = 0 12 + -12u = 28 + 0 12 + -12u = 28 Add '-12' to each side of the equation. 12 + -12 + -12u = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -12u = 28 + -12 -12u = 28 + -12 Combine like terms: 28 + -12 = 16 -12u = 16 Divide each side by '-12'. u = -1.333333333 Simplifying u = -1.333333333
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