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Simplifying 30 = 7u + 5(u + -6) Reorder the terms: 30 = 7u + 5(-6 + u) 30 = 7u + (-6 * 5 + u * 5) 30 = 7u + (-30 + 5u) Reorder the terms: 30 = -30 + 7u + 5u Combine like terms: 7u + 5u = 12u 30 = -30 + 12u Solving 30 = -30 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 30 + -12u = -30 + 12u + -12u Combine like terms: 12u + -12u = 0 30 + -12u = -30 + 0 30 + -12u = -30 Add '-30' to each side of the equation. 30 + -30 + -12u = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -12u = -30 + -30 -12u = -30 + -30 Combine like terms: -30 + -30 = -60 -12u = -60 Divide each side by '-12'. u = 5 Simplifying u = 5
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