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Simplifying 3(-1u + -5) + 8(2u + 1) = 3 Reorder the terms: 3(-5 + -1u) + 8(2u + 1) = 3 (-5 * 3 + -1u * 3) + 8(2u + 1) = 3 (-15 + -3u) + 8(2u + 1) = 3 Reorder the terms: -15 + -3u + 8(1 + 2u) = 3 -15 + -3u + (1 * 8 + 2u * 8) = 3 -15 + -3u + (8 + 16u) = 3 Reorder the terms: -15 + 8 + -3u + 16u = 3 Combine like terms: -15 + 8 = -7 -7 + -3u + 16u = 3 Combine like terms: -3u + 16u = 13u -7 + 13u = 3 Solving -7 + 13u = 3 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 13u = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 13u = 3 + 7 13u = 3 + 7 Combine like terms: 3 + 7 = 10 13u = 10 Divide each side by '13'. u = 0.7692307692 Simplifying u = 0.7692307692
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