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Simplifying 5(a + 2) + 2(a + -3) = 0 Reorder the terms: 5(2 + a) + 2(a + -3) = 0 (2 * 5 + a * 5) + 2(a + -3) = 0 (10 + 5a) + 2(a + -3) = 0 Reorder the terms: 10 + 5a + 2(-3 + a) = 0 10 + 5a + (-3 * 2 + a * 2) = 0 10 + 5a + (-6 + 2a) = 0 Reorder the terms: 10 + -6 + 5a + 2a = 0 Combine like terms: 10 + -6 = 4 4 + 5a + 2a = 0 Combine like terms: 5a + 2a = 7a 4 + 7a = 0 Solving 4 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 0 + -4 7a = 0 + -4 Combine like terms: 0 + -4 = -4 7a = -4 Divide each side by '7'. a = -0.5714285714 Simplifying a = -0.5714285714
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