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Simplifying 11 + 8(3u + -4) + -2(u + 6) + 9 = 0 Reorder the terms: 11 + 8(-4 + 3u) + -2(u + 6) + 9 = 0 11 + (-4 * 8 + 3u * 8) + -2(u + 6) + 9 = 0 11 + (-32 + 24u) + -2(u + 6) + 9 = 0 Reorder the terms: 11 + -32 + 24u + -2(6 + u) + 9 = 0 11 + -32 + 24u + (6 * -2 + u * -2) + 9 = 0 11 + -32 + 24u + (-12 + -2u) + 9 = 0 Reorder the terms: 11 + -32 + -12 + 9 + 24u + -2u = 0 Combine like terms: 11 + -32 = -21 -21 + -12 + 9 + 24u + -2u = 0 Combine like terms: -21 + -12 = -33 -33 + 9 + 24u + -2u = 0 Combine like terms: -33 + 9 = -24 -24 + 24u + -2u = 0 Combine like terms: 24u + -2u = 22u -24 + 22u = 0 Solving -24 + 22u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 22u = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 22u = 0 + 24 22u = 0 + 24 Combine like terms: 0 + 24 = 24 22u = 24 Divide each side by '22'. u = 1.090909091 Simplifying u = 1.090909091
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