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Simplifying -20u + 17 + 5 = 6(2u + -20) + -18 Reorder the terms: 17 + 5 + -20u = 6(2u + -20) + -18 Combine like terms: 17 + 5 = 22 22 + -20u = 6(2u + -20) + -18 Reorder the terms: 22 + -20u = 6(-20 + 2u) + -18 22 + -20u = (-20 * 6 + 2u * 6) + -18 22 + -20u = (-120 + 12u) + -18 Reorder the terms: 22 + -20u = -120 + -18 + 12u Combine like terms: -120 + -18 = -138 22 + -20u = -138 + 12u Solving 22 + -20u = -138 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 22 + -20u + -12u = -138 + 12u + -12u Combine like terms: -20u + -12u = -32u 22 + -32u = -138 + 12u + -12u Combine like terms: 12u + -12u = 0 22 + -32u = -138 + 0 22 + -32u = -138 Add '-22' to each side of the equation. 22 + -22 + -32u = -138 + -22 Combine like terms: 22 + -22 = 0 0 + -32u = -138 + -22 -32u = -138 + -22 Combine like terms: -138 + -22 = -160 -32u = -160 Divide each side by '-32'. u = 5 Simplifying u = 5
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