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Simplifying 8(a + 2) = 1 + 3a Reorder the terms: 8(2 + a) = 1 + 3a (2 * 8 + a * 8) = 1 + 3a (16 + 8a) = 1 + 3a Solving 16 + 8a = 1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 16 + 8a + -3a = 1 + 3a + -3a Combine like terms: 8a + -3a = 5a 16 + 5a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 16 + 5a = 1 + 0 16 + 5a = 1 Add '-16' to each side of the equation. 16 + -16 + 5a = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 5a = 1 + -16 5a = 1 + -16 Combine like terms: 1 + -16 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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