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Simplifying 1 + 12a + -3(a + 1) = a + 1 Reorder the terms: 1 + 12a + -3(1 + a) = a + 1 1 + 12a + (1 * -3 + a * -3) = a + 1 1 + 12a + (-3 + -3a) = a + 1 Reorder the terms: 1 + -3 + 12a + -3a = a + 1 Combine like terms: 1 + -3 = -2 -2 + 12a + -3a = a + 1 Combine like terms: 12a + -3a = 9a -2 + 9a = a + 1 Reorder the terms: -2 + 9a = 1 + a Solving -2 + 9a = 1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -2 + 9a + -1a = 1 + a + -1a Combine like terms: 9a + -1a = 8a -2 + 8a = 1 + a + -1a Combine like terms: a + -1a = 0 -2 + 8a = 1 + 0 -2 + 8a = 1 Add '2' to each side of the equation. -2 + 2 + 8a = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 8a = 1 + 2 8a = 1 + 2 Combine like terms: 1 + 2 = 3 8a = 3 Divide each side by '8'. a = 0.375 Simplifying a = 0.375
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