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Simplifying 6(-5a + 4) + 3(1 + 6a) = -9 Reorder the terms: 6(4 + -5a) + 3(1 + 6a) = -9 (4 * 6 + -5a * 6) + 3(1 + 6a) = -9 (24 + -30a) + 3(1 + 6a) = -9 24 + -30a + (1 * 3 + 6a * 3) = -9 24 + -30a + (3 + 18a) = -9 Reorder the terms: 24 + 3 + -30a + 18a = -9 Combine like terms: 24 + 3 = 27 27 + -30a + 18a = -9 Combine like terms: -30a + 18a = -12a 27 + -12a = -9 Solving 27 + -12a = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -12a = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -12a = -9 + -27 -12a = -9 + -27 Combine like terms: -9 + -27 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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