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Simplifying 9 + -6(4u + -10) = u + 15 Reorder the terms: 9 + -6(-10 + 4u) = u + 15 9 + (-10 * -6 + 4u * -6) = u + 15 9 + (60 + -24u) = u + 15 Combine like terms: 9 + 60 = 69 69 + -24u = u + 15 Reorder the terms: 69 + -24u = 15 + u Solving 69 + -24u = 15 + u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 69 + -24u + -1u = 15 + u + -1u Combine like terms: -24u + -1u = -25u 69 + -25u = 15 + u + -1u Combine like terms: u + -1u = 0 69 + -25u = 15 + 0 69 + -25u = 15 Add '-69' to each side of the equation. 69 + -69 + -25u = 15 + -69 Combine like terms: 69 + -69 = 0 0 + -25u = 15 + -69 -25u = 15 + -69 Combine like terms: 15 + -69 = -54 -25u = -54 Divide each side by '-25'. u = 2.16 Simplifying u = 2.16
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