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Simplifying -4u + -46 = 6(u + 4) Reorder the terms: -46 + -4u = 6(u + 4) Reorder the terms: -46 + -4u = 6(4 + u) -46 + -4u = (4 * 6 + u * 6) -46 + -4u = (24 + 6u) Solving -46 + -4u = 24 + 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 + -4u + -6u = 24 + 6u + -6u Combine like terms: -4u + -6u = -10u -46 + -10u = 24 + 6u + -6u Combine like terms: 6u + -6u = 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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