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Simplifying 3a + -9(11a + 3) = -9a + 12(a + 6) Reorder the terms: 3a + -9(3 + 11a) = -9a + 12(a + 6) 3a + (3 * -9 + 11a * -9) = -9a + 12(a + 6) 3a + (-27 + -99a) = -9a + 12(a + 6) Reorder the terms: -27 + 3a + -99a = -9a + 12(a + 6) Combine like terms: 3a + -99a = -96a -27 + -96a = -9a + 12(a + 6) Reorder the terms: -27 + -96a = -9a + 12(6 + a) -27 + -96a = -9a + (6 * 12 + a * 12) -27 + -96a = -9a + (72 + 12a) Reorder the terms: -27 + -96a = 72 + -9a + 12a Combine like terms: -9a + 12a = 3a -27 + -96a = 72 + 3a Solving -27 + -96a = 72 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -27 + -96a + -3a = 72 + 3a + -3a Combine like terms: -96a + -3a = -99a -27 + -99a = 72 + 3a + -3a Combine like terms: 3a + -3a = 0 -27 + -99a = 72 + 0 -27 + -99a = 72 Add '27' to each side of the equation. -27 + 27 + -99a = 72 + 27 Combine like terms: -27 + 27 = 0 0 + -99a = 72 + 27 -99a = 72 + 27 Combine like terms: 72 + 27 = 99 -99a = 99 Divide each side by '-99'. a = -1 Simplifying a = -1
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