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Simplifying 7(2a + 2) + 4(5a + -1) = 0 Reorder the terms: 7(2 + 2a) + 4(5a + -1) = 0 (2 * 7 + 2a * 7) + 4(5a + -1) = 0 (14 + 14a) + 4(5a + -1) = 0 Reorder the terms: 14 + 14a + 4(-1 + 5a) = 0 14 + 14a + (-1 * 4 + 5a * 4) = 0 14 + 14a + (-4 + 20a) = 0 Reorder the terms: 14 + -4 + 14a + 20a = 0 Combine like terms: 14 + -4 = 10 10 + 14a + 20a = 0 Combine like terms: 14a + 20a = 34a 10 + 34a = 0 Solving 10 + 34a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 34a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 34a = 0 + -10 34a = 0 + -10 Combine like terms: 0 + -10 = -10 34a = -10 Divide each side by '34'. a = -0.2941176471 Simplifying a = -0.2941176471
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