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Simplifying 3(2a + 2) + -4(3a + -5) = 0 Reorder the terms: 3(2 + 2a) + -4(3a + -5) = 0 (2 * 3 + 2a * 3) + -4(3a + -5) = 0 (6 + 6a) + -4(3a + -5) = 0 Reorder the terms: 6 + 6a + -4(-5 + 3a) = 0 6 + 6a + (-5 * -4 + 3a * -4) = 0 6 + 6a + (20 + -12a) = 0 Reorder the terms: 6 + 20 + 6a + -12a = 0 Combine like terms: 6 + 20 = 26 26 + 6a + -12a = 0 Combine like terms: 6a + -12a = -6a 26 + -6a = 0 Solving 26 + -6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -6a = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -6a = 0 + -26 -6a = 0 + -26 Combine like terms: 0 + -26 = -26 -6a = -26 Divide each side by '-6'. a = 4.333333333 Simplifying a = 4.333333333
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