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Simplifying 3(3u + 2) + 5u = 5(u + -3) + 2u Reorder the terms: 3(2 + 3u) + 5u = 5(u + -3) + 2u (2 * 3 + 3u * 3) + 5u = 5(u + -3) + 2u (6 + 9u) + 5u = 5(u + -3) + 2u Combine like terms: 9u + 5u = 14u 6 + 14u = 5(u + -3) + 2u Reorder the terms: 6 + 14u = 5(-3 + u) + 2u 6 + 14u = (-3 * 5 + u * 5) + 2u 6 + 14u = (-15 + 5u) + 2u Combine like terms: 5u + 2u = 7u 6 + 14u = -15 + 7u Solving 6 + 14u = -15 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 6 + 14u + -7u = -15 + 7u + -7u Combine like terms: 14u + -7u = 7u 6 + 7u = -15 + 7u + -7u Combine like terms: 7u + -7u = 0 6 + 7u = -15 + 0 6 + 7u = -15 Add '-6' to each side of the equation. 6 + -6 + 7u = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 7u = -15 + -6 7u = -15 + -6 Combine like terms: -15 + -6 = -21 7u = -21 Divide each side by '7'. u = -3 Simplifying u = -3
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