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Simplifying 3(a + 5) + 2(a + -4) = 0 Reorder the terms: 3(5 + a) + 2(a + -4) = 0 (5 * 3 + a * 3) + 2(a + -4) = 0 (15 + 3a) + 2(a + -4) = 0 Reorder the terms: 15 + 3a + 2(-4 + a) = 0 15 + 3a + (-4 * 2 + a * 2) = 0 15 + 3a + (-8 + 2a) = 0 Reorder the terms: 15 + -8 + 3a + 2a = 0 Combine like terms: 15 + -8 = 7 7 + 3a + 2a = 0 Combine like terms: 3a + 2a = 5a 7 + 5a = 0 Solving 7 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = 0 + -7 5a = 0 + -7 Combine like terms: 0 + -7 = -7 5a = -7 Divide each side by '5'. a = -1.4 Simplifying a = -1.4
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