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Simplifying 7(7 + -3u) + u = 8 + u (7 * 7 + -3u * 7) + u = 8 + u (49 + -21u) + u = 8 + u Combine like terms: -21u + u = -20u 49 + -20u = 8 + u Solving 49 + -20u = 8 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 49 + -20u + -1u = 8 + u + -1u Combine like terms: -20u + -1u = -21u 49 + -21u = 8 + u + -1u Combine like terms: u + -1u = 0 49 + -21u = 8 + 0 49 + -21u = 8 Add '-49' to each side of the equation. 49 + -49 + -21u = 8 + -49 Combine like terms: 49 + -49 = 0 0 + -21u = 8 + -49 -21u = 8 + -49 Combine like terms: 8 + -49 = -41 -21u = -41 Divide each side by '-21'. u = 1.952380952 Simplifying u = 1.952380952
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