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Simplifying 27 = 2u + 5(u + -3) Reorder the terms: 27 = 2u + 5(-3 + u) 27 = 2u + (-3 * 5 + u * 5) 27 = 2u + (-15 + 5u) Reorder the terms: 27 = -15 + 2u + 5u Combine like terms: 2u + 5u = 7u 27 = -15 + 7u Solving 27 = -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. 27 + -7u = -15 + 7u + -7u Combine like terms: 7u + -7u = 0 27 + -7u = -15 + 0 27 + -7u = -15 Add '-27' to each side of the equation. 27 + -27 + -7u = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -7u = -15 + -27 -7u = -15 + -27 Combine like terms: -15 + -27 = -42 -7u = -42 Divide each side by '-7'. u = 6 Simplifying u = 6
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