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Simplifying 3(2a + 4) + -5(3a + 7) = 0 Reorder the terms: 3(4 + 2a) + -5(3a + 7) = 0 (4 * 3 + 2a * 3) + -5(3a + 7) = 0 (12 + 6a) + -5(3a + 7) = 0 Reorder the terms: 12 + 6a + -5(7 + 3a) = 0 12 + 6a + (7 * -5 + 3a * -5) = 0 12 + 6a + (-35 + -15a) = 0 Reorder the terms: 12 + -35 + 6a + -15a = 0 Combine like terms: 12 + -35 = -23 -23 + 6a + -15a = 0 Combine like terms: 6a + -15a = -9a -23 + -9a = 0 Solving -23 + -9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -9a = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -9a = 0 + 23 -9a = 0 + 23 Combine like terms: 0 + 23 = 23 -9a = 23 Divide each side by '-9'. a = -2.555555556 Simplifying a = -2.555555556
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