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Simplifying 7(u + -2) = 2u + 21 Reorder the terms: 7(-2 + u) = 2u + 21 (-2 * 7 + u * 7) = 2u + 21 (-14 + 7u) = 2u + 21 Reorder the terms: -14 + 7u = 21 + 2u Solving -14 + 7u = 21 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -14 + 7u + -2u = 21 + 2u + -2u Combine like terms: 7u + -2u = 5u -14 + 5u = 21 + 2u + -2u Combine like terms: 2u + -2u = 0 -14 + 5u = 21 + 0 -14 + 5u = 21 Add '14' to each side of the equation. -14 + 14 + 5u = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 5u = 21 + 14 5u = 21 + 14 Combine like terms: 21 + 14 = 35 5u = 35 Divide each side by '5'. u = 7 Simplifying u = 7
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