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Simplifying 7(u + -6) = 5u + -28 Reorder the terms: 7(-6 + u) = 5u + -28 (-6 * 7 + u * 7) = 5u + -28 (-42 + 7u) = 5u + -28 Reorder the terms: -42 + 7u = -28 + 5u Solving -42 + 7u = -28 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -42 + 7u + -5u = -28 + 5u + -5u Combine like terms: 7u + -5u = 2u -42 + 2u = -28 + 5u + -5u Combine like terms: 5u + -5u = 0 -42 + 2u = -28 + 0 -42 + 2u = -28 Add '42' to each side of the equation. -42 + 42 + 2u = -28 + 42 Combine like terms: -42 + 42 = 0 0 + 2u = -28 + 42 2u = -28 + 42 Combine like terms: -28 + 42 = 14 2u = 14 Divide each side by '2'. u = 7 Simplifying u = 7
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