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Simplifying 0.2n + a = 8(0.4n + -1) Reorder the terms: a + 0.2n = 8(0.4n + -1) Reorder the terms: a + 0.2n = 8(-1 + 0.4n) a + 0.2n = (-1 * 8 + 0.4n * 8) a + 0.2n = (-8 + 3.2n) Solving a + 0.2n = -8 + 3.2n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2n' to each side of the equation. a + 0.2n + -0.2n = -8 + 3.2n + -0.2n Combine like terms: 0.2n + -0.2n = 0.0 a + 0.0 = -8 + 3.2n + -0.2n a = -8 + 3.2n + -0.2n Combine like terms: 3.2n + -0.2n = 3n a = -8 + 3n Simplifying a = -8 + 3n
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