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Simplifying 14 + 3a = 8a + -3(n + -4) Reorder the terms: 14 + 3a = 8a + -3(-4 + n) 14 + 3a = 8a + (-4 * -3 + n * -3) 14 + 3a = 8a + (12 + -3n) Reorder the terms: 14 + 3a = 12 + 8a + -3n Solving 14 + 3a = 12 + 8a + -3n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 14 + 3a + -8a = 12 + 8a + -8a + -3n Combine like terms: 3a + -8a = -5a 14 + -5a = 12 + 8a + -8a + -3n Combine like terms: 8a + -8a = 0 14 + -5a = 12 + 0 + -3n 14 + -5a = 12 + -3n Add '-14' to each side of the equation. 14 + -14 + -5a = 12 + -14 + -3n Combine like terms: 14 + -14 = 0 0 + -5a = 12 + -14 + -3n -5a = 12 + -14 + -3n Combine like terms: 12 + -14 = -2 -5a = -2 + -3n Divide each side by '-5'. a = 0.4 + 0.6n Simplifying a = 0.4 + 0.6n
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