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Simplifying 2(2u + -1) + 4u = 6(u + -5) + -2u Reorder the terms: 2(-1 + 2u) + 4u = 6(u + -5) + -2u (-1 * 2 + 2u * 2) + 4u = 6(u + -5) + -2u (-2 + 4u) + 4u = 6(u + -5) + -2u Combine like terms: 4u + 4u = 8u -2 + 8u = 6(u + -5) + -2u Reorder the terms: -2 + 8u = 6(-5 + u) + -2u -2 + 8u = (-5 * 6 + u * 6) + -2u -2 + 8u = (-30 + 6u) + -2u Combine like terms: 6u + -2u = 4u -2 + 8u = -30 + 4u Solving -2 + 8u = -30 + 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. -2 + 8u + -4u = -30 + 4u + -4u Combine like terms: 8u + -4u = 4u -2 + 4u = -30 + 4u + -4u Combine like terms: 4u + -4u = 0 -2 + 4u = -30 + 0 -2 + 4u = -30 Add '2' to each side of the equation. -2 + 2 + 4u = -30 + 2 Combine like terms: -2 + 2 = 0 0 + 4u = -30 + 2 4u = -30 + 2 Combine like terms: -30 + 2 = -28 4u = -28 Divide each side by '4'. u = -7 Simplifying u = -7
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