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Simplifying 2u + 6 = -8(u + 8) Reorder the terms: 6 + 2u = -8(u + 8) Reorder the terms: 6 + 2u = -8(8 + u) 6 + 2u = (8 * -8 + u * -8) 6 + 2u = (-64 + -8u) Solving 6 + 2u = -64 + -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. 6 + 2u + 8u = -64 + -8u + 8u Combine like terms: 2u + 8u = 10u 6 + 10u = -64 + -8u + 8u Combine like terms: -8u + 8u = 0 6 + 10u = -64 + 0 6 + 10u = -64 Add '-6' to each side of the equation. 6 + -6 + 10u = -64 + -6 Combine like terms: 6 + -6 = 0 0 + 10u = -64 + -6 10u = -64 + -6 Combine like terms: -64 + -6 = -70 10u = -70 Divide each side by '10'. u = -7 Simplifying u = -7
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