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Simplifying 7 + 3(1[4u + -3] * 1) = -2(1[5u + -3] * 1) + 4u Reorder the terms: 7 + 3(1[-3 + 4u] * 1) = -2(1[5u + -3] * 1) + 4u Reorder the terms for easier multiplication: 7 + 3(1 * 1[-3 + 4u]) = -2(1[5u + -3] * 1) + 4u Multiply 1 * 1 7 + 3(1[-3 + 4u]) = -2(1[5u + -3] * 1) + 4u 7 + 3([-3 * 1 + 4u * 1]) = -2(1[5u + -3] * 1) + 4u 7 + 3([-3 + 4u]) = -2(1[5u + -3] * 1) + 4u 7 + (-3 * 3 + 4u * 3) = -2(1[5u + -3] * 1) + 4u 7 + (-9 + 12u) = -2(1[5u + -3] * 1) + 4u Combine like terms: 7 + -9 = -2 -2 + 12u = -2(1[5u + -3] * 1) + 4u Reorder the terms: -2 + 12u = -2(1[-3 + 5u] * 1) + 4u Reorder the terms for easier multiplication: -2 + 12u = -2(1 * 1[-3 + 5u]) + 4u Multiply 1 * 1 -2 + 12u = -2(1[-3 + 5u]) + 4u -2 + 12u = -2([-3 * 1 + 5u * 1]) + 4u -2 + 12u = -2([-3 + 5u]) + 4u -2 + 12u = (-3 * -2 + 5u * -2) + 4u -2 + 12u = (6 + -10u) + 4u Combine like terms: -10u + 4u = -6u -2 + 12u = 6 + -6u Solving -2 + 12u = 6 + -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. -2 + 12u + 6u = 6 + -6u + 6u Combine like terms: 12u + 6u = 18u -2 + 18u = 6 + -6u + 6u Combine like terms: -6u + 6u = 0 -2 + 18u = 6 + 0 -2 + 18u = 6 Add '2' to each side of the equation. -2 + 2 + 18u = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 18u = 6 + 2 18u = 6 + 2 Combine like terms: 6 + 2 = 8 18u = 8 Divide each side by '18'. u = 0.4444444444 Simplifying u = 0.4444444444
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