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Simplifying -30 = 8(u + 5) + 2 Reorder the terms: -30 = 8(5 + u) + 2 -30 = (5 * 8 + u * 8) + 2 -30 = (40 + 8u) + 2 Reorder the terms: -30 = 40 + 2 + 8u Combine like terms: 40 + 2 = 42 -30 = 42 + 8u Solving -30 = 42 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -30 + -8u = 42 + 8u + -8u Combine like terms: 8u + -8u = 0 -30 + -8u = 42 + 0 -30 + -8u = 42 Add '30' to each side of the equation. -30 + 30 + -8u = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -8u = 42 + 30 -8u = 42 + 30 Combine like terms: 42 + 30 = 72 -8u = 72 Divide each side by '-8'. u = -9 Simplifying u = -9
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