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Simplifying 12 = 1 + 8a + 3a Combine like terms: 8a + 3a = 11a 12 = 1 + 11a Solving 12 = 1 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 12 + -11a = 1 + 11a + -11a Combine like terms: 11a + -11a = 0 12 + -11a = 1 + 0 12 + -11a = 1 Add '-12' to each side of the equation. 12 + -12 + -11a = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -11a = 1 + -12 -11a = 1 + -12 Combine like terms: 1 + -12 = -11 -11a = -11 Divide each side by '-11'. a = 1 Simplifying a = 1
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