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Simplifying 9(u + -7) = 4u + -23 Reorder the terms: 9(-7 + u) = 4u + -23 (-7 * 9 + u * 9) = 4u + -23 (-63 + 9u) = 4u + -23 Reorder the terms: -63 + 9u = -23 + 4u Solving -63 + 9u = -23 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -63 + 9u + -4u = -23 + 4u + -4u Combine like terms: 9u + -4u = 5u -63 + 5u = -23 + 4u + -4u Combine like terms: 4u + -4u = 0 -63 + 5u = -23 + 0 -63 + 5u = -23 Add '63' to each side of the equation. -63 + 63 + 5u = -23 + 63 Combine like terms: -63 + 63 = 0 0 + 5u = -23 + 63 5u = -23 + 63 Combine like terms: -23 + 63 = 40 5u = 40 Divide each side by '5'. u = 8 Simplifying u = 8
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