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Simplifying 6u + 32 = -2(u + 8) Reorder the terms: 32 + 6u = -2(u + 8) Reorder the terms: 32 + 6u = -2(8 + u) 32 + 6u = (8 * -2 + u * -2) 32 + 6u = (-16 + -2u) Solving 32 + 6u = -16 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 32 + 6u + 2u = -16 + -2u + 2u Combine like terms: 6u + 2u = 8u 32 + 8u = -16 + -2u + 2u Combine like terms: -2u + 2u = 0 32 + 8u = -16 + 0 32 + 8u = -16 Add '-32' to each side of the equation. 32 + -32 + 8u = -16 + -32 Combine like terms: 32 + -32 = 0 0 + 8u = -16 + -32 8u = -16 + -32 Combine like terms: -16 + -32 = -48 8u = -48 Divide each side by '8'. u = -6 Simplifying u = -6
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