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Simplifying 12u + 6 + -5(2u + -3) = 1 + 4(u + 5) Reorder the terms: 12u + 6 + -5(-3 + 2u) = 1 + 4(u + 5) 12u + 6 + (-3 * -5 + 2u * -5) = 1 + 4(u + 5) 12u + 6 + (15 + -10u) = 1 + 4(u + 5) Reorder the terms: 6 + 15 + 12u + -10u = 1 + 4(u + 5) Combine like terms: 6 + 15 = 21 21 + 12u + -10u = 1 + 4(u + 5) Combine like terms: 12u + -10u = 2u 21 + 2u = 1 + 4(u + 5) Reorder the terms: 21 + 2u = 1 + 4(5 + u) 21 + 2u = 1 + (5 * 4 + u * 4) 21 + 2u = 1 + (20 + 4u) Combine like terms: 1 + 20 = 21 21 + 2u = 21 + 4u Add '-21' to each side of the equation. 21 + -21 + 2u = 21 + -21 + 4u Combine like terms: 21 + -21 = 0 0 + 2u = 21 + -21 + 4u 2u = 21 + -21 + 4u Combine like terms: 21 + -21 = 0 2u = 0 + 4u 2u = 4u Solving 2u = 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 2u + -4u = 4u + -4u Combine like terms: 2u + -4u = -2u -2u = 4u + -4u Combine like terms: 4u + -4u = 0 -2u = 0 Divide each side by '-2'. u = 0 Simplifying u = 0
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