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Simplifying 4(3u + 5) = 8u + 14 Reorder the terms: 4(5 + 3u) = 8u + 14 (5 * 4 + 3u * 4) = 8u + 14 (20 + 12u) = 8u + 14 Reorder the terms: 20 + 12u = 14 + 8u Solving 20 + 12u = 14 + 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. 20 + 12u + -8u = 14 + 8u + -8u Combine like terms: 12u + -8u = 4u 20 + 4u = 14 + 8u + -8u Combine like terms: 8u + -8u = 0 20 + 4u = 14 + 0 20 + 4u = 14 Add '-20' to each side of the equation. 20 + -20 + 4u = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 4u = 14 + -20 4u = 14 + -20 Combine like terms: 14 + -20 = -6 4u = -6 Divide each side by '4'. u = -1.5 Simplifying u = -1.5
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