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Simplifying -6(u + 5) = -4u + -46 Reorder the terms: -6(5 + u) = -4u + -46 (5 * -6 + u * -6) = -4u + -46 (-30 + -6u) = -4u + -46 Reorder the terms: -30 + -6u = -46 + -4u Solving -30 + -6u = -46 + -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. -30 + -6u + 4u = -46 + -4u + 4u Combine like terms: -6u + 4u = -2u -30 + -2u = -46 + -4u + 4u Combine like terms: -4u + 4u = 0 -30 + -2u = -46 + 0 -30 + -2u = -46 Add '30' to each side of the equation. -30 + 30 + -2u = -46 + 30 Combine like terms: -30 + 30 = 0 0 + -2u = -46 + 30 -2u = -46 + 30 Combine like terms: -46 + 30 = -16 -2u = -16 Divide each side by '-2'. u = 8 Simplifying u = 8
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