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Simplifying 5u + 21 = -6(u + 2) Reorder the terms: 21 + 5u = -6(u + 2) Reorder the terms: 21 + 5u = -6(2 + u) 21 + 5u = (2 * -6 + u * -6) 21 + 5u = (-12 + -6u) Solving 21 + 5u = -12 + -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 + 5u + 6u = -12 + -6u + 6u Combine like terms: 5u + 6u = 11u 21 + 11u = -12 + -6u + 6u Combine like terms: -6u + 6u = 0 21 + 11u = -12 + 0 21 + 11u = -12 Add '-21' to each side of the equation. 21 + -21 + 11u = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 11u = -12 + -21 11u = -12 + -21 Combine like terms: -12 + -21 = -33 11u = -33 Divide each side by '11'. u = -3 Simplifying u = -3
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