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Simplifying 1 + 2(2u + -3) = -3(4u + -3) + 6u Reorder the terms: 1 + 2(-3 + 2u) = -3(4u + -3) + 6u 1 + (-3 * 2 + 2u * 2) = -3(4u + -3) + 6u 1 + (-6 + 4u) = -3(4u + -3) + 6u Combine like terms: 1 + -6 = -5 -5 + 4u = -3(4u + -3) + 6u Reorder the terms: -5 + 4u = -3(-3 + 4u) + 6u -5 + 4u = (-3 * -3 + 4u * -3) + 6u -5 + 4u = (9 + -12u) + 6u Combine like terms: -12u + 6u = -6u -5 + 4u = 9 + -6u Solving -5 + 4u = 9 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -5 + 4u + 6u = 9 + -6u + 6u Combine like terms: 4u + 6u = 10u -5 + 10u = 9 + -6u + 6u Combine like terms: -6u + 6u = 0 -5 + 10u = 9 + 0 -5 + 10u = 9 Add '5' to each side of the equation. -5 + 5 + 10u = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 10u = 9 + 5 10u = 9 + 5 Combine like terms: 9 + 5 = 14 10u = 14 Divide each side by '10'. u = 1.4 Simplifying u = 1.4
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