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Simplifying 8u + 12 = 4(u + 7) Reorder the terms: 12 + 8u = 4(u + 7) Reorder the terms: 12 + 8u = 4(7 + u) 12 + 8u = (7 * 4 + u * 4) 12 + 8u = (28 + 4u) Solving 12 + 8u = 28 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 12 + 8u + -4u = 28 + 4u + -4u Combine like terms: 8u + -4u = 4u 12 + 4u = 28 + 4u + -4u Combine like terms: 4u + -4u = 0 12 + 4u = 28 + 0 12 + 4u = 28 Add '-12' to each side of the equation. 12 + -12 + 4u = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 4u = 28 + -12 4u = 28 + -12 Combine like terms: 28 + -12 = 16 4u = 16 Divide each side by '4'. u = 4 Simplifying u = 4
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