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Simplifying 4(2a + 3) + -9(a + -5) = 0 Reorder the terms: 4(3 + 2a) + -9(a + -5) = 0 (3 * 4 + 2a * 4) + -9(a + -5) = 0 (12 + 8a) + -9(a + -5) = 0 Reorder the terms: 12 + 8a + -9(-5 + a) = 0 12 + 8a + (-5 * -9 + a * -9) = 0 12 + 8a + (45 + -9a) = 0 Reorder the terms: 12 + 45 + 8a + -9a = 0 Combine like terms: 12 + 45 = 57 57 + 8a + -9a = 0 Combine like terms: 8a + -9a = -1a 57 + -1a = 0 Solving 57 + -1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -1a = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -1a = 0 + -57 -1a = 0 + -57 Combine like terms: 0 + -57 = -57 -1a = -57 Divide each side by '-1'. a = 57 Simplifying a = 57
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