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Simplifying 19u + 14 = 4(5u + 4) + -20 Reorder the terms: 14 + 19u = 4(5u + 4) + -20 Reorder the terms: 14 + 19u = 4(4 + 5u) + -20 14 + 19u = (4 * 4 + 5u * 4) + -20 14 + 19u = (16 + 20u) + -20 Reorder the terms: 14 + 19u = 16 + -20 + 20u Combine like terms: 16 + -20 = -4 14 + 19u = -4 + 20u Solving 14 + 19u = -4 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. 14 + 19u + -20u = -4 + 20u + -20u Combine like terms: 19u + -20u = -1u 14 + -1u = -4 + 20u + -20u Combine like terms: 20u + -20u = 0 14 + -1u = -4 + 0 14 + -1u = -4 Add '-14' to each side of the equation. 14 + -14 + -1u = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -1u = -4 + -14 -1u = -4 + -14 Combine like terms: -4 + -14 = -18 -1u = -18 Divide each side by '-1'. u = 18 Simplifying u = 18
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