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Simplifying 71 = -5(7n + -1) + -2(-5a + 7) Reorder the terms: 71 = -5(-1 + 7n) + -2(-5a + 7) 71 = (-1 * -5 + 7n * -5) + -2(-5a + 7) 71 = (5 + -35n) + -2(-5a + 7) Reorder the terms: 71 = 5 + -35n + -2(7 + -5a) 71 = 5 + -35n + (7 * -2 + -5a * -2) 71 = 5 + -35n + (-14 + 10a) Reorder the terms: 71 = 5 + -14 + 10a + -35n Combine like terms: 5 + -14 = -9 71 = -9 + 10a + -35n Solving 71 = -9 + 10a + -35n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 71 + -10a = -9 + 10a + -10a + -35n Combine like terms: 10a + -10a = 0 71 + -10a = -9 + 0 + -35n 71 + -10a = -9 + -35n Add '-71' to each side of the equation. 71 + -71 + -10a = -9 + -71 + -35n Combine like terms: 71 + -71 = 0 0 + -10a = -9 + -71 + -35n -10a = -9 + -71 + -35n Combine like terms: -9 + -71 = -80 -10a = -80 + -35n Divide each side by '-10'. a = 8 + 3.5n Simplifying a = 8 + 3.5n
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