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Simplifying -6u + -32 = 2(u + 4) Reorder the terms: -32 + -6u = 2(u + 4) Reorder the terms: -32 + -6u = 2(4 + u) -32 + -6u = (4 * 2 + u * 2) -32 + -6u = (8 + 2u) Solving -32 + -6u = 8 + 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 = 8 + 2u + -2u Combine like terms: -6u + -2u = -8u -32 + -8u = 8 + 2u + -2u Combine like terms: 2u + -2u = 0 -32 + -8u = 8 + 0 -32 + -8u = 8 Add '32' to each side of the equation. -32 + 32 + -8u = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -8u = 8 + 32 -8u = 8 + 32 Combine like terms: 8 + 32 = 40 -8u = 40 Divide each side by '-8'. u = -5 Simplifying u = -5
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