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Simplifying 4(2u + 3) + 4u + 2 = 6(u + -1) + -4u Reorder the terms: 4(3 + 2u) + 4u + 2 = 6(u + -1) + -4u (3 * 4 + 2u * 4) + 4u + 2 = 6(u + -1) + -4u (12 + 8u) + 4u + 2 = 6(u + -1) + -4u Reorder the terms: 12 + 2 + 8u + 4u = 6(u + -1) + -4u Combine like terms: 12 + 2 = 14 14 + 8u + 4u = 6(u + -1) + -4u Combine like terms: 8u + 4u = 12u 14 + 12u = 6(u + -1) + -4u Reorder the terms: 14 + 12u = 6(-1 + u) + -4u 14 + 12u = (-1 * 6 + u * 6) + -4u 14 + 12u = (-6 + 6u) + -4u Combine like terms: 6u + -4u = 2u 14 + 12u = -6 + 2u Solving 14 + 12u = -6 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 14 + 12u + -2u = -6 + 2u + -2u Combine like terms: 12u + -2u = 10u 14 + 10u = -6 + 2u + -2u Combine like terms: 2u + -2u = 0 14 + 10u = -6 + 0 14 + 10u = -6 Add '-14' to each side of the equation. 14 + -14 + 10u = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 10u = -6 + -14 10u = -6 + -14 Combine like terms: -6 + -14 = -20 10u = -20 Divide each side by '10'. u = -2 Simplifying u = -2
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