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Simplifying 6(u + -4) = 7u + 41 Reorder the terms: 6(-4 + u) = 7u + 41 (-4 * 6 + u * 6) = 7u + 41 (-24 + 6u) = 7u + 41 Reorder the terms: -24 + 6u = 41 + 7u Solving -24 + 6u = 41 + 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. -24 + 6u + -7u = 41 + 7u + -7u Combine like terms: 6u + -7u = -1u -24 + -1u = 41 + 7u + -7u Combine like terms: 7u + -7u = 0 -24 + -1u = 41 + 0 -24 + -1u = 41 Add '24' to each side of the equation. -24 + 24 + -1u = 41 + 24 Combine like terms: -24 + 24 = 0 0 + -1u = 41 + 24 -1u = 41 + 24 Combine like terms: 41 + 24 = 65 -1u = 65 Divide each side by '-1'. u = -65 Simplifying u = -65
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