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Simplifying 4(3a + 7) + 5(2a + -2) = 0 Reorder the terms: 4(7 + 3a) + 5(2a + -2) = 0 (7 * 4 + 3a * 4) + 5(2a + -2) = 0 (28 + 12a) + 5(2a + -2) = 0 Reorder the terms: 28 + 12a + 5(-2 + 2a) = 0 28 + 12a + (-2 * 5 + 2a * 5) = 0 28 + 12a + (-10 + 10a) = 0 Reorder the terms: 28 + -10 + 12a + 10a = 0 Combine like terms: 28 + -10 = 18 18 + 12a + 10a = 0 Combine like terms: 12a + 10a = 22a 18 + 22a = 0 Solving 18 + 22a = 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 + 22a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 22a = 0 + -18 22a = 0 + -18 Combine like terms: 0 + -18 = -18 22a = -18 Divide each side by '22'. a = -0.8181818182 Simplifying a = -0.8181818182
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