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Simplifying 2(6a + 5) + 13 + -6(4 + -2a) = 0 Reorder the terms: 2(5 + 6a) + 13 + -6(4 + -2a) = 0 (5 * 2 + 6a * 2) + 13 + -6(4 + -2a) = 0 (10 + 12a) + 13 + -6(4 + -2a) = 0 10 + 12a + 13 + (4 * -6 + -2a * -6) = 0 10 + 12a + 13 + (-24 + 12a) = 0 Reorder the terms: 10 + 13 + -24 + 12a + 12a = 0 Combine like terms: 10 + 13 = 23 23 + -24 + 12a + 12a = 0 Combine like terms: 23 + -24 = -1 -1 + 12a + 12a = 0 Combine like terms: 12a + 12a = 24a -1 + 24a = 0 Solving -1 + 24a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 24a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 24a = 0 + 1 24a = 0 + 1 Combine like terms: 0 + 1 = 1 24a = 1 Divide each side by '24'. a = 0.04166666667 Simplifying a = 0.04166666667
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