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Simplifying -6u + -46 = 4(u + 6) Reorder the terms: -46 + -6u = 4(u + 6) Reorder the terms: -46 + -6u = 4(6 + u) -46 + -6u = (6 * 4 + u * 4) -46 + -6u = (24 + 4u) Solving -46 + -6u = 24 + 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. -46 + -6u + -4u = 24 + 4u + -4u Combine like terms: -6u + -4u = -10u -46 + -10u = 24 + 4u + -4u Combine like terms: 4u + -4u = 0 -46 + -10u = 24 + 0 -46 + -10u = 24 Add '46' to each side of the equation. -46 + 46 + -10u = 24 + 46 Combine like terms: -46 + 46 = 0 0 + -10u = 24 + 46 -10u = 24 + 46 Combine like terms: 24 + 46 = 70 -10u = 70 Divide each side by '-10'. u = -7 Simplifying u = -7
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