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Simplifying 4(3a + 2) + -2(a + -5) = 0 Reorder the terms: 4(2 + 3a) + -2(a + -5) = 0 (2 * 4 + 3a * 4) + -2(a + -5) = 0 (8 + 12a) + -2(a + -5) = 0 Reorder the terms: 8 + 12a + -2(-5 + a) = 0 8 + 12a + (-5 * -2 + a * -2) = 0 8 + 12a + (10 + -2a) = 0 Reorder the terms: 8 + 10 + 12a + -2a = 0 Combine like terms: 8 + 10 = 18 18 + 12a + -2a = 0 Combine like terms: 12a + -2a = 10a 18 + 10a = 0 Solving 18 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 10a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 10a = 0 + -18 10a = 0 + -18 Combine like terms: 0 + -18 = -18 10a = -18 Divide each side by '10'. a = -1.8 Simplifying a = -1.8
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