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Simplifying 12u + -8 = 8(u + 4) Reorder the terms: -8 + 12u = 8(u + 4) Reorder the terms: -8 + 12u = 8(4 + u) -8 + 12u = (4 * 8 + u * 8) -8 + 12u = (32 + 8u) Solving -8 + 12u = 32 + 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. -8 + 12u + -8u = 32 + 8u + -8u Combine like terms: 12u + -8u = 4u -8 + 4u = 32 + 8u + -8u Combine like terms: 8u + -8u = 0 -8 + 4u = 32 + 0 -8 + 4u = 32 Add '8' to each side of the equation. -8 + 8 + 4u = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 4u = 32 + 8 4u = 32 + 8 Combine like terms: 32 + 8 = 40 4u = 40 Divide each side by '4'. u = 10 Simplifying u = 10
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