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Simplifying 3(a + -4) + 2(2a + 5) = 0 Reorder the terms: 3(-4 + a) + 2(2a + 5) = 0 (-4 * 3 + a * 3) + 2(2a + 5) = 0 (-12 + 3a) + 2(2a + 5) = 0 Reorder the terms: -12 + 3a + 2(5 + 2a) = 0 -12 + 3a + (5 * 2 + 2a * 2) = 0 -12 + 3a + (10 + 4a) = 0 Reorder the terms: -12 + 10 + 3a + 4a = 0 Combine like terms: -12 + 10 = -2 -2 + 3a + 4a = 0 Combine like terms: 3a + 4a = 7a -2 + 7a = 0 Solving -2 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7a = 0 + 2 7a = 0 + 2 Combine like terms: 0 + 2 = 2 7a = 2 Divide each side by '7'. a = 0.2857142857 Simplifying a = 0.2857142857
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