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Simplifying 6(3a + 5) + -3(2a + -5) = 0 Reorder the terms: 6(5 + 3a) + -3(2a + -5) = 0 (5 * 6 + 3a * 6) + -3(2a + -5) = 0 (30 + 18a) + -3(2a + -5) = 0 Reorder the terms: 30 + 18a + -3(-5 + 2a) = 0 30 + 18a + (-5 * -3 + 2a * -3) = 0 30 + 18a + (15 + -6a) = 0 Reorder the terms: 30 + 15 + 18a + -6a = 0 Combine like terms: 30 + 15 = 45 45 + 18a + -6a = 0 Combine like terms: 18a + -6a = 12a 45 + 12a = 0 Solving 45 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 12a = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 12a = 0 + -45 12a = 0 + -45 Combine like terms: 0 + -45 = -45 12a = -45 Divide each side by '12'. a = -3.75 Simplifying a = -3.75
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