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Simplifying 8(u + 4) + -4(u + 9) = 8 Reorder the terms: 8(4 + u) + -4(u + 9) = 8 (4 * 8 + u * 8) + -4(u + 9) = 8 (32 + 8u) + -4(u + 9) = 8 Reorder the terms: 32 + 8u + -4(9 + u) = 8 32 + 8u + (9 * -4 + u * -4) = 8 32 + 8u + (-36 + -4u) = 8 Reorder the terms: 32 + -36 + 8u + -4u = 8 Combine like terms: 32 + -36 = -4 -4 + 8u + -4u = 8 Combine like terms: 8u + -4u = 4u -4 + 4u = 8 Solving -4 + 4u = 8 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4u = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4u = 8 + 4 4u = 8 + 4 Combine like terms: 8 + 4 = 12 4u = 12 Divide each side by '4'. u = 3 Simplifying u = 3
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