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Simplifying 3(4u + -6) = 2(4u + -3) + -1(u + -8) Reorder the terms: 3(-6 + 4u) = 2(4u + -3) + -1(u + -8) (-6 * 3 + 4u * 3) = 2(4u + -3) + -1(u + -8) (-18 + 12u) = 2(4u + -3) + -1(u + -8) Reorder the terms: -18 + 12u = 2(-3 + 4u) + -1(u + -8) -18 + 12u = (-3 * 2 + 4u * 2) + -1(u + -8) -18 + 12u = (-6 + 8u) + -1(u + -8) Reorder the terms: -18 + 12u = -6 + 8u + -1(-8 + u) -18 + 12u = -6 + 8u + (-8 * -1 + u * -1) -18 + 12u = -6 + 8u + (8 + -1u) Reorder the terms: -18 + 12u = -6 + 8 + 8u + -1u Combine like terms: -6 + 8 = 2 -18 + 12u = 2 + 8u + -1u Combine like terms: 8u + -1u = 7u -18 + 12u = 2 + 7u Solving -18 + 12u = 2 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -18 + 12u + -7u = 2 + 7u + -7u Combine like terms: 12u + -7u = 5u -18 + 5u = 2 + 7u + -7u Combine like terms: 7u + -7u = 0 -18 + 5u = 2 + 0 -18 + 5u = 2 Add '18' to each side of the equation. -18 + 18 + 5u = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5u = 2 + 18 5u = 2 + 18 Combine like terms: 2 + 18 = 20 5u = 20 Divide each side by '5'. u = 4 Simplifying u = 4
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