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Simplifying -6(3 + -3a) + -8(1 + 4n) = 13 (3 * -6 + -3a * -6) + -8(1 + 4n) = 13 (-18 + 18a) + -8(1 + 4n) = 13 -18 + 18a + (1 * -8 + 4n * -8) = 13 -18 + 18a + (-8 + -32n) = 13 Reorder the terms: -18 + -8 + 18a + -32n = 13 Combine like terms: -18 + -8 = -26 -26 + 18a + -32n = 13 Solving -26 + 18a + -32n = 13 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 + 18a + 26 + -32n = 13 + 26 Reorder the terms: -26 + 26 + 18a + -32n = 13 + 26 Combine like terms: -26 + 26 = 0 0 + 18a + -32n = 13 + 26 18a + -32n = 13 + 26 Combine like terms: 13 + 26 = 39 18a + -32n = 39 Add '32n' to each side of the equation. 18a + -32n + 32n = 39 + 32n Combine like terms: -32n + 32n = 0 18a + 0 = 39 + 32n 18a = 39 + 32n Divide each side by '18'. a = 2.166666667 + 1.777777778n Simplifying a = 2.166666667 + 1.777777778n
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