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Simplifying 4u + 36 = 8(u + 4) Reorder the terms: 36 + 4u = 8(u + 4) Reorder the terms: 36 + 4u = 8(4 + u) 36 + 4u = (4 * 8 + u * 8) 36 + 4u = (32 + 8u) Solving 36 + 4u = 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. 36 + 4u + -8u = 32 + 8u + -8u Combine like terms: 4u + -8u = -4u 36 + -4u = 32 + 8u + -8u Combine like terms: 8u + -8u = 0 36 + -4u = 32 + 0 36 + -4u = 32 Add '-36' to each side of the equation. 36 + -36 + -4u = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -4u = 32 + -36 -4u = 32 + -36 Combine like terms: 32 + -36 = -4 -4u = -4 Divide each side by '-4'. u = 1 Simplifying u = 1
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