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Simplifying 12a + (4 + -1a) = 3a + -1(a + -2) Remove parenthesis around (4 + -1a) 12a + 4 + -1a = 3a + -1(a + -2) Reorder the terms: 4 + 12a + -1a = 3a + -1(a + -2) Combine like terms: 12a + -1a = 11a 4 + 11a = 3a + -1(a + -2) Reorder the terms: 4 + 11a = 3a + -1(-2 + a) 4 + 11a = 3a + (-2 * -1 + a * -1) 4 + 11a = 3a + (2 + -1a) Reorder the terms: 4 + 11a = 2 + 3a + -1a Combine like terms: 3a + -1a = 2a 4 + 11a = 2 + 2a Solving 4 + 11a = 2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4 + 11a + -2a = 2 + 2a + -2a Combine like terms: 11a + -2a = 9a 4 + 9a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 9a = 2 + 0 4 + 9a = 2 Add '-4' to each side of the equation. 4 + -4 + 9a = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 9a = 2 + -4 9a = 2 + -4 Combine like terms: 2 + -4 = -2 9a = -2 Divide each side by '9'. a = -0.2222222222 Simplifying a = -0.2222222222
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