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Simplifying 7(a + 4) + -2(2a + 1) = 0 Reorder the terms: 7(4 + a) + -2(2a + 1) = 0 (4 * 7 + a * 7) + -2(2a + 1) = 0 (28 + 7a) + -2(2a + 1) = 0 Reorder the terms: 28 + 7a + -2(1 + 2a) = 0 28 + 7a + (1 * -2 + 2a * -2) = 0 28 + 7a + (-2 + -4a) = 0 Reorder the terms: 28 + -2 + 7a + -4a = 0 Combine like terms: 28 + -2 = 26 26 + 7a + -4a = 0 Combine like terms: 7a + -4a = 3a 26 + 3a = 0 Solving 26 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 3a = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3a = 0 + -26 3a = 0 + -26 Combine like terms: 0 + -26 = -26 3a = -26 Divide each side by '3'. a = -8.666666667 Simplifying a = -8.666666667
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