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Simplifying 9 + -6[4u + -1] = u + 15 Reorder the terms: 9 + -6[-1 + 4u] = u + 15 9 + [-1 * -6 + 4u * -6] = u + 15 9 + [6 + -24u] = u + 15 Combine like terms: 9 + 6 = 15 15 + -24u = u + 15 Reorder the terms: 15 + -24u = 15 + u Add '-15' to each side of the equation. 15 + -15 + -24u = 15 + -15 + u Combine like terms: 15 + -15 = 0 0 + -24u = 15 + -15 + u -24u = 15 + -15 + u Combine like terms: 15 + -15 = 0 -24u = 0 + u -24u = u Solving -24u = 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. -24u + -1u = u + -1u Combine like terms: -24u + -1u = -25u -25u = u + -1u Combine like terms: u + -1u = 0 -25u = 0 Divide each side by '-25'. u = 0 Simplifying u = 0
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