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Simplifying 3(7u + 1) = 8u + -5(u + 3) Reorder the terms: 3(1 + 7u) = 8u + -5(u + 3) (1 * 3 + 7u * 3) = 8u + -5(u + 3) (3 + 21u) = 8u + -5(u + 3) Reorder the terms: 3 + 21u = 8u + -5(3 + u) 3 + 21u = 8u + (3 * -5 + u * -5) 3 + 21u = 8u + (-15 + -5u) Reorder the terms: 3 + 21u = -15 + 8u + -5u Combine like terms: 8u + -5u = 3u 3 + 21u = -15 + 3u Solving 3 + 21u = -15 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 3 + 21u + -3u = -15 + 3u + -3u Combine like terms: 21u + -3u = 18u 3 + 18u = -15 + 3u + -3u Combine like terms: 3u + -3u = 0 3 + 18u = -15 + 0 3 + 18u = -15 Add '-3' to each side of the equation. 3 + -3 + 18u = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 18u = -15 + -3 18u = -15 + -3 Combine like terms: -15 + -3 = -18 18u = -18 Divide each side by '18'. u = -1 Simplifying u = -1
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