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Simplifying 6u + 40 = 8(u + 6) Reorder the terms: 40 + 6u = 8(u + 6) Reorder the terms: 40 + 6u = 8(6 + u) 40 + 6u = (6 * 8 + u * 8) 40 + 6u = (48 + 8u) Solving 40 + 6u = 48 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 40 + 6u + -8u = 48 + 8u + -8u Combine like terms: 6u + -8u = -2u 40 + -2u = 48 + 8u + -8u Combine like terms: 8u + -8u = 0 40 + -2u = 48 + 0 40 + -2u = 48 Add '-40' to each side of the equation. 40 + -40 + -2u = 48 + -40 Combine like terms: 40 + -40 = 0 0 + -2u = 48 + -40 -2u = 48 + -40 Combine like terms: 48 + -40 = 8 -2u = 8 Divide each side by '-2'. u = -4 Simplifying u = -4
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