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Simplifying -7(2u + -6) + 4u = 6(u + 4) Reorder the terms: -7(-6 + 2u) + 4u = 6(u + 4) (-6 * -7 + 2u * -7) + 4u = 6(u + 4) (42 + -14u) + 4u = 6(u + 4) Combine like terms: -14u + 4u = -10u 42 + -10u = 6(u + 4) Reorder the terms: 42 + -10u = 6(4 + u) 42 + -10u = (4 * 6 + u * 6) 42 + -10u = (24 + 6u) Solving 42 + -10u = 24 + 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. 42 + -10u + -6u = 24 + 6u + -6u Combine like terms: -10u + -6u = -16u 42 + -16u = 24 + 6u + -6u Combine like terms: 6u + -6u = 0 42 + -16u = 24 + 0 42 + -16u = 24 Add '-42' to each side of the equation. 42 + -42 + -16u = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -16u = 24 + -42 -16u = 24 + -42 Combine like terms: 24 + -42 = -18 -16u = -18 Divide each side by '-16'. u = 1.125 Simplifying u = 1.125
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