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Simplifying 7(u + 3) = -6u + 8 Reorder the terms: 7(3 + u) = -6u + 8 (3 * 7 + u * 7) = -6u + 8 (21 + 7u) = -6u + 8 Reorder the terms: 21 + 7u = 8 + -6u Solving 21 + 7u = 8 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 21 + 7u + 6u = 8 + -6u + 6u Combine like terms: 7u + 6u = 13u 21 + 13u = 8 + -6u + 6u Combine like terms: -6u + 6u = 0 21 + 13u = 8 + 0 21 + 13u = 8 Add '-21' to each side of the equation. 21 + -21 + 13u = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 13u = 8 + -21 13u = 8 + -21 Combine like terms: 8 + -21 = -13 13u = -13 Divide each side by '13'. u = -1 Simplifying u = -1
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