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Simplifying 2u + -46 = -6(u + -3) Reorder the terms: -46 + 2u = -6(u + -3) Reorder the terms: -46 + 2u = -6(-3 + u) -46 + 2u = (-3 * -6 + u * -6) -46 + 2u = (18 + -6u) Solving -46 + 2u = 18 + -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. -46 + 2u + 6u = 18 + -6u + 6u Combine like terms: 2u + 6u = 8u -46 + 8u = 18 + -6u + 6u Combine like terms: -6u + 6u = 0 -46 + 8u = 18 + 0 -46 + 8u = 18 Add '46' to each side of the equation. -46 + 46 + 8u = 18 + 46 Combine like terms: -46 + 46 = 0 0 + 8u = 18 + 46 8u = 18 + 46 Combine like terms: 18 + 46 = 64 8u = 64 Divide each side by '8'. u = 8 Simplifying u = 8
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