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Simplifying -4(4u + -8) + 6u = 6(u + 5) Reorder the terms: -4(-8 + 4u) + 6u = 6(u + 5) (-8 * -4 + 4u * -4) + 6u = 6(u + 5) (32 + -16u) + 6u = 6(u + 5) Combine like terms: -16u + 6u = -10u 32 + -10u = 6(u + 5) Reorder the terms: 32 + -10u = 6(5 + u) 32 + -10u = (5 * 6 + u * 6) 32 + -10u = (30 + 6u) Solving 32 + -10u = 30 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 32 + -10u + -6u = 30 + 6u + -6u Combine like terms: -10u + -6u = -16u 32 + -16u = 30 + 6u + -6u Combine like terms: 6u + -6u = 0 32 + -16u = 30 + 0 32 + -16u = 30 Add '-32' to each side of the equation. 32 + -32 + -16u = 30 + -32 Combine like terms: 32 + -32 = 0 0 + -16u = 30 + -32 -16u = 30 + -32 Combine like terms: 30 + -32 = -2 -16u = -2 Divide each side by '-16'. u = 0.125 Simplifying u = 0.125
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