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Simplifying 4u + 16 = 8(u + 6) Reorder the terms: 16 + 4u = 8(u + 6) Reorder the terms: 16 + 4u = 8(6 + u) 16 + 4u = (6 * 8 + u * 8) 16 + 4u = (48 + 8u) Solving 16 + 4u = 48 + 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. 16 + 4u + -8u = 48 + 8u + -8u Combine like terms: 4u + -8u = -4u 16 + -4u = 48 + 8u + -8u Combine like terms: 8u + -8u = 0 16 + -4u = 48 + 0 16 + -4u = 48 Add '-16' to each side of the equation. 16 + -16 + -4u = 48 + -16 Combine like terms: 16 + -16 = 0 0 + -4u = 48 + -16 -4u = 48 + -16 Combine like terms: 48 + -16 = 32 -4u = 32 Divide each side by '-4'. u = -8 Simplifying u = -8
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