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Simplifying 9(11 + -1a) = 3(3a + -9) (11 * 9 + -1a * 9) = 3(3a + -9) (99 + -9a) = 3(3a + -9) Reorder the terms: 99 + -9a = 3(-9 + 3a) 99 + -9a = (-9 * 3 + 3a * 3) 99 + -9a = (-27 + 9a) Solving 99 + -9a = -27 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 99 + -9a + -9a = -27 + 9a + -9a Combine like terms: -9a + -9a = -18a 99 + -18a = -27 + 9a + -9a Combine like terms: 9a + -9a = 0 99 + -18a = -27 + 0 99 + -18a = -27 Add '-99' to each side of the equation. 99 + -99 + -18a = -27 + -99 Combine like terms: 99 + -99 = 0 0 + -18a = -27 + -99 -18a = -27 + -99 Combine like terms: -27 + -99 = -126 -18a = -126 Divide each side by '-18'. a = 7 Simplifying a = 7
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