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Simplifying 11(3a + -2) + -6(8a + -9) = 0 Reorder the terms: 11(-2 + 3a) + -6(8a + -9) = 0 (-2 * 11 + 3a * 11) + -6(8a + -9) = 0 (-22 + 33a) + -6(8a + -9) = 0 Reorder the terms: -22 + 33a + -6(-9 + 8a) = 0 -22 + 33a + (-9 * -6 + 8a * -6) = 0 -22 + 33a + (54 + -48a) = 0 Reorder the terms: -22 + 54 + 33a + -48a = 0 Combine like terms: -22 + 54 = 32 32 + 33a + -48a = 0 Combine like terms: 33a + -48a = -15a 32 + -15a = 0 Solving 32 + -15a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -15a = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -15a = 0 + -32 -15a = 0 + -32 Combine like terms: 0 + -32 = -32 -15a = -32 Divide each side by '-15'. a = 2.133333333 Simplifying a = 2.133333333
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