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Simplifying -5n + -4(-7 + -4a) = 36 + 7n -5n + (-7 * -4 + -4a * -4) = 36 + 7n -5n + (28 + 16a) = 36 + 7n Reorder the terms: 28 + 16a + -5n = 36 + 7n Solving 28 + 16a + -5n = 36 + 7n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + 16a + -28 + -5n = 36 + -28 + 7n Reorder the terms: 28 + -28 + 16a + -5n = 36 + -28 + 7n Combine like terms: 28 + -28 = 0 0 + 16a + -5n = 36 + -28 + 7n 16a + -5n = 36 + -28 + 7n Combine like terms: 36 + -28 = 8 16a + -5n = 8 + 7n Add '5n' to each side of the equation. 16a + -5n + 5n = 8 + 7n + 5n Combine like terms: -5n + 5n = 0 16a + 0 = 8 + 7n + 5n 16a = 8 + 7n + 5n Combine like terms: 7n + 5n = 12n 16a = 8 + 12n Divide each side by '16'. a = 0.5 + 0.75n Simplifying a = 0.5 + 0.75n
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