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Simplifying 2(3u + 7) + 28 = -4(3 + -2u) Reorder the terms: 2(7 + 3u) + 28 = -4(3 + -2u) (7 * 2 + 3u * 2) + 28 = -4(3 + -2u) (14 + 6u) + 28 = -4(3 + -2u) Reorder the terms: 14 + 28 + 6u = -4(3 + -2u) Combine like terms: 14 + 28 = 42 42 + 6u = -4(3 + -2u) 42 + 6u = (3 * -4 + -2u * -4) 42 + 6u = (-12 + 8u) Solving 42 + 6u = -12 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 42 + 6u + -8u = -12 + 8u + -8u Combine like terms: 6u + -8u = -2u 42 + -2u = -12 + 8u + -8u Combine like terms: 8u + -8u = 0 42 + -2u = -12 + 0 42 + -2u = -12 Add '-42' to each side of the equation. 42 + -42 + -2u = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -2u = -12 + -42 -2u = -12 + -42 Combine like terms: -12 + -42 = -54 -2u = -54 Divide each side by '-2'. u = 27 Simplifying u = 27
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