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Simplifying -5(-5u + 9) + -5u = 6(u + -9) + -9 Reorder the terms: -5(9 + -5u) + -5u = 6(u + -9) + -9 (9 * -5 + -5u * -5) + -5u = 6(u + -9) + -9 (-45 + 25u) + -5u = 6(u + -9) + -9 Combine like terms: 25u + -5u = 20u -45 + 20u = 6(u + -9) + -9 Reorder the terms: -45 + 20u = 6(-9 + u) + -9 -45 + 20u = (-9 * 6 + u * 6) + -9 -45 + 20u = (-54 + 6u) + -9 Reorder the terms: -45 + 20u = -54 + -9 + 6u Combine like terms: -54 + -9 = -63 -45 + 20u = -63 + 6u Solving -45 + 20u = -63 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -45 + 20u + -6u = -63 + 6u + -6u Combine like terms: 20u + -6u = 14u -45 + 14u = -63 + 6u + -6u Combine like terms: 6u + -6u = 0 -45 + 14u = -63 + 0 -45 + 14u = -63 Add '45' to each side of the equation. -45 + 45 + 14u = -63 + 45 Combine like terms: -45 + 45 = 0 0 + 14u = -63 + 45 14u = -63 + 45 Combine like terms: -63 + 45 = -18 14u = -18 Divide each side by '14'. u = -1.285714286 Simplifying u = -1.285714286
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