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Simplifying 12 + a = 1 + -8a + -2a Combine like terms: -8a + -2a = -10a 12 + a = 1 + -10a Solving 12 + a = 1 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 12 + a + 10a = 1 + -10a + 10a Combine like terms: a + 10a = 11a 12 + 11a = 1 + -10a + 10a Combine like terms: -10a + 10a = 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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