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Simplifying -9(6a + -3) + 6(1 + 4a) = 0 Reorder the terms: -9(-3 + 6a) + 6(1 + 4a) = 0 (-3 * -9 + 6a * -9) + 6(1 + 4a) = 0 (27 + -54a) + 6(1 + 4a) = 0 27 + -54a + (1 * 6 + 4a * 6) = 0 27 + -54a + (6 + 24a) = 0 Reorder the terms: 27 + 6 + -54a + 24a = 0 Combine like terms: 27 + 6 = 33 33 + -54a + 24a = 0 Combine like terms: -54a + 24a = -30a 33 + -30a = 0 Solving 33 + -30a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -30a = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -30a = 0 + -33 -30a = 0 + -33 Combine like terms: 0 + -33 = -33 -30a = -33 Divide each side by '-30'. a = 1.1 Simplifying a = 1.1
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