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Simplifying 9(a + 3) + 11(a + -2) = 0 Reorder the terms: 9(3 + a) + 11(a + -2) = 0 (3 * 9 + a * 9) + 11(a + -2) = 0 (27 + 9a) + 11(a + -2) = 0 Reorder the terms: 27 + 9a + 11(-2 + a) = 0 27 + 9a + (-2 * 11 + a * 11) = 0 27 + 9a + (-22 + 11a) = 0 Reorder the terms: 27 + -22 + 9a + 11a = 0 Combine like terms: 27 + -22 = 5 5 + 9a + 11a = 0 Combine like terms: 9a + 11a = 20a 5 + 20a = 0 Solving 5 + 20a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 20a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 20a = 0 + -5 20a = 0 + -5 Combine like terms: 0 + -5 = -5 20a = -5 Divide each side by '20'. a = -0.25 Simplifying a = -0.25
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