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Simplifying 7(3 + -1u) + 1u = 5 + -2u (3 * 7 + -1u * 7) + 1u = 5 + -2u (21 + -7u) + 1u = 5 + -2u Combine like terms: -7u + 1u = -6u 21 + -6u = 5 + -2u Solving 21 + -6u = 5 + -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. 21 + -6u + 2u = 5 + -2u + 2u Combine like terms: -6u + 2u = -4u 21 + -4u = 5 + -2u + 2u Combine like terms: -2u + 2u = 0 21 + -4u = 5 + 0 21 + -4u = 5 Add '-21' to each side of the equation. 21 + -21 + -4u = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -4u = 5 + -21 -4u = 5 + -21 Combine like terms: 5 + -21 = -16 -4u = -16 Divide each side by '-4'. u = 4 Simplifying u = 4
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