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Simplifying 6(a + 2) + -8 = 5a + 1 Reorder the terms: 6(2 + a) + -8 = 5a + 1 (2 * 6 + a * 6) + -8 = 5a + 1 (12 + 6a) + -8 = 5a + 1 Reorder the terms: 12 + -8 + 6a = 5a + 1 Combine like terms: 12 + -8 = 4 4 + 6a = 5a + 1 Reorder the terms: 4 + 6a = 1 + 5a Solving 4 + 6a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 4 + 6a + -5a = 1 + 5a + -5a Combine like terms: 6a + -5a = 1a 4 + 1a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 4 + 1a = 1 + 0 4 + 1a = 1 Add '-4' to each side of the equation. 4 + -4 + 1a = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 1 + -4 1a = 1 + -4 Combine like terms: 1 + -4 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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