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Simplifying 30 = 5u + 2(u + -6) Reorder the terms: 30 = 5u + 2(-6 + u) 30 = 5u + (-6 * 2 + u * 2) 30 = 5u + (-12 + 2u) Reorder the terms: 30 = -12 + 5u + 2u Combine like terms: 5u + 2u = 7u 30 = -12 + 7u Solving 30 = -12 + 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. 30 + -7u = -12 + 7u + -7u Combine like terms: 7u + -7u = 0 30 + -7u = -12 + 0 30 + -7u = -12 Add '-30' to each side of the equation. 30 + -30 + -7u = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -7u = -12 + -30 -7u = -12 + -30 Combine like terms: -12 + -30 = -42 -7u = -42 Divide each side by '-7'. u = 6 Simplifying u = 6
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