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Simplifying 3(2u + 1) = 5(3 + -1u) + 3(u + -2) Reorder the terms: 3(1 + 2u) = 5(3 + -1u) + 3(u + -2) (1 * 3 + 2u * 3) = 5(3 + -1u) + 3(u + -2) (3 + 6u) = 5(3 + -1u) + 3(u + -2) 3 + 6u = (3 * 5 + -1u * 5) + 3(u + -2) 3 + 6u = (15 + -5u) + 3(u + -2) Reorder the terms: 3 + 6u = 15 + -5u + 3(-2 + u) 3 + 6u = 15 + -5u + (-2 * 3 + u * 3) 3 + 6u = 15 + -5u + (-6 + 3u) Reorder the terms: 3 + 6u = 15 + -6 + -5u + 3u Combine like terms: 15 + -6 = 9 3 + 6u = 9 + -5u + 3u Combine like terms: -5u + 3u = -2u 3 + 6u = 9 + -2u Solving 3 + 6u = 9 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 3 + 6u + 2u = 9 + -2u + 2u Combine like terms: 6u + 2u = 8u 3 + 8u = 9 + -2u + 2u Combine like terms: -2u + 2u = 0 3 + 8u = 9 + 0 3 + 8u = 9 Add '-3' to each side of the equation. 3 + -3 + 8u = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 8u = 9 + -3 8u = 9 + -3 Combine like terms: 9 + -3 = 6 8u = 6 Divide each side by '8'. u = 0.75 Simplifying u = 0.75
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