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Simplifying -4(4u + -4) + 5u = 7(u + 4) Reorder the terms: -4(-4 + 4u) + 5u = 7(u + 4) (-4 * -4 + 4u * -4) + 5u = 7(u + 4) (16 + -16u) + 5u = 7(u + 4) Combine like terms: -16u + 5u = -11u 16 + -11u = 7(u + 4) Reorder the terms: 16 + -11u = 7(4 + u) 16 + -11u = (4 * 7 + u * 7) 16 + -11u = (28 + 7u) Solving 16 + -11u = 28 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 16 + -11u + -7u = 28 + 7u + -7u Combine like terms: -11u + -7u = -18u 16 + -18u = 28 + 7u + -7u Combine like terms: 7u + -7u = 0 16 + -18u = 28 + 0 16 + -18u = 28 Add '-16' to each side of the equation. 16 + -16 + -18u = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -18u = 28 + -16 -18u = 28 + -16 Combine like terms: 28 + -16 = 12 -18u = 12 Divide each side by '-18'. u = -0.6666666667 Simplifying u = -0.6666666667
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