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Simplifying 314 = -8a + 6(1 + -6a) 314 = -8a + (1 * 6 + -6a * 6) 314 = -8a + (6 + -36a) Reorder the terms: 314 = 6 + -8a + -36a Combine like terms: -8a + -36a = -44a 314 = 6 + -44a Solving 314 = 6 + -44a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44a' to each side of the equation. 314 + 44a = 6 + -44a + 44a Combine like terms: -44a + 44a = 0 314 + 44a = 6 + 0 314 + 44a = 6 Add '-314' to each side of the equation. 314 + -314 + 44a = 6 + -314 Combine like terms: 314 + -314 = 0 0 + 44a = 6 + -314 44a = 6 + -314 Combine like terms: 6 + -314 = -308 44a = -308 Divide each side by '44'. a = -7 Simplifying a = -7
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