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Simplifying 4(u + 4) = -2(7u + -5) + 2u Reorder the terms: 4(4 + u) = -2(7u + -5) + 2u (4 * 4 + u * 4) = -2(7u + -5) + 2u (16 + 4u) = -2(7u + -5) + 2u Reorder the terms: 16 + 4u = -2(-5 + 7u) + 2u 16 + 4u = (-5 * -2 + 7u * -2) + 2u 16 + 4u = (10 + -14u) + 2u Combine like terms: -14u + 2u = -12u 16 + 4u = 10 + -12u Solving 16 + 4u = 10 + -12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12u' to each side of the equation. 16 + 4u + 12u = 10 + -12u + 12u Combine like terms: 4u + 12u = 16u 16 + 16u = 10 + -12u + 12u Combine like terms: -12u + 12u = 0 16 + 16u = 10 + 0 16 + 16u = 10 Add '-16' to each side of the equation. 16 + -16 + 16u = 10 + -16 Combine like terms: 16 + -16 = 0 0 + 16u = 10 + -16 16u = 10 + -16 Combine like terms: 10 + -16 = -6 16u = -6 Divide each side by '16'. u = -0.375 Simplifying u = -0.375
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