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Simplifying 8(4u + -17) + -12u = 11(2u + -6) Reorder the terms: 8(-17 + 4u) + -12u = 11(2u + -6) (-17 * 8 + 4u * 8) + -12u = 11(2u + -6) (-136 + 32u) + -12u = 11(2u + -6) Combine like terms: 32u + -12u = 20u -136 + 20u = 11(2u + -6) Reorder the terms: -136 + 20u = 11(-6 + 2u) -136 + 20u = (-6 * 11 + 2u * 11) -136 + 20u = (-66 + 22u) Solving -136 + 20u = -66 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -136 + 20u + -22u = -66 + 22u + -22u Combine like terms: 20u + -22u = -2u -136 + -2u = -66 + 22u + -22u Combine like terms: 22u + -22u = 0 -136 + -2u = -66 + 0 -136 + -2u = -66 Add '136' to each side of the equation. -136 + 136 + -2u = -66 + 136 Combine like terms: -136 + 136 = 0 0 + -2u = -66 + 136 -2u = -66 + 136 Combine like terms: -66 + 136 = 70 -2u = 70 Divide each side by '-2'. u = -35 Simplifying u = -35
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