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Simplifying 6(-3a + 12) + 8a + -13a = 0 Reorder the terms: 6(12 + -3a) + 8a + -13a = 0 (12 * 6 + -3a * 6) + 8a + -13a = 0 (72 + -18a) + 8a + -13a = 0 Combine like terms: -18a + 8a = -10a 72 + -10a + -13a = 0 Combine like terms: -10a + -13a = -23a 72 + -23a = 0 Solving 72 + -23a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -23a = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -23a = 0 + -72 -23a = 0 + -72 Combine like terms: 0 + -72 = -72 -23a = -72 Divide each side by '-23'. a = 3.130434783 Simplifying a = 3.130434783
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