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Simplifying 6(u + 7) = 2u + 14 Reorder the terms: 6(7 + u) = 2u + 14 (7 * 6 + u * 6) = 2u + 14 (42 + 6u) = 2u + 14 Reorder the terms: 42 + 6u = 14 + 2u Solving 42 + 6u = 14 + 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. 42 + 6u + -2u = 14 + 2u + -2u Combine like terms: 6u + -2u = 4u 42 + 4u = 14 + 2u + -2u Combine like terms: 2u + -2u = 0 42 + 4u = 14 + 0 42 + 4u = 14 Add '-42' to each side of the equation. 42 + -42 + 4u = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 4u = 14 + -42 4u = 14 + -42 Combine like terms: 14 + -42 = -28 4u = -28 Divide each side by '4'. u = -7 Simplifying u = -7
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