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Simplifying 46 = 7(u + -4) + 18 Reorder the terms: 46 = 7(-4 + u) + 18 46 = (-4 * 7 + u * 7) + 18 46 = (-28 + 7u) + 18 Reorder the terms: 46 = -28 + 18 + 7u Combine like terms: -28 + 18 = -10 46 = -10 + 7u Solving 46 = -10 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 46 + -7u = -10 + 7u + -7u Combine like terms: 7u + -7u = 0 46 + -7u = -10 + 0 46 + -7u = -10 Add '-46' to each side of the equation. 46 + -46 + -7u = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -7u = -10 + -46 -7u = -10 + -46 Combine like terms: -10 + -46 = -56 -7u = -56 Divide each side by '-7'. u = 8 Simplifying u = 8
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