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Simplifying a + 2 + -4a + 8 = 1 Reorder the terms: 2 + 8 + a + -4a = 1 Combine like terms: 2 + 8 = 10 10 + a + -4a = 1 Combine like terms: a + -4a = -3a 10 + -3a = 1 Solving 10 + -3a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3a = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 1 + -10 -3a = 1 + -10 Combine like terms: 1 + -10 = -9 -3a = -9 Divide each side by '-3'. a = 3 Simplifying a = 3
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