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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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