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Simplifying 48 + -1.5(3u + -4) + 4u = 4(16 + -1u) Reorder the terms: 48 + -1.5(-4 + 3u) + 4u = 4(16 + -1u) 48 + (-4 * -1.5 + 3u * -1.5) + 4u = 4(16 + -1u) 48 + (6 + -4.5u) + 4u = 4(16 + -1u) Combine like terms: 48 + 6 = 54 54 + -4.5u + 4u = 4(16 + -1u) Combine like terms: -4.5u + 4u = -0.5u 54 + -0.5u = 4(16 + -1u) 54 + -0.5u = (16 * 4 + -1u * 4) 54 + -0.5u = (64 + -4u) Solving 54 + -0.5u = 64 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 54 + -0.5u + 4u = 64 + -4u + 4u Combine like terms: -0.5u + 4u = 3.5u 54 + 3.5u = 64 + -4u + 4u Combine like terms: -4u + 4u = 0 54 + 3.5u = 64 + 0 54 + 3.5u = 64 Add '-54' to each side of the equation. 54 + -54 + 3.5u = 64 + -54 Combine like terms: 54 + -54 = 0 0 + 3.5u = 64 + -54 3.5u = 64 + -54 Combine like terms: 64 + -54 = 10 3.5u = 10 Divide each side by '3.5'. u = 2.857142857 Simplifying u = 2.857142857
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