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Simplifying 12a + (4 + -1a) = 3x + -1(a + -2) Remove parenthesis around (4 + -1a) 12a + 4 + -1a = 3x + -1(a + -2) Reorder the terms: 4 + 12a + -1a = 3x + -1(a + -2) Combine like terms: 12a + -1a = 11a 4 + 11a = 3x + -1(a + -2) Reorder the terms: 4 + 11a = 3x + -1(-2 + a) 4 + 11a = 3x + (-2 * -1 + a * -1) 4 + 11a = 3x + (2 + -1a) Reorder the terms: 4 + 11a = 2 + -1a + 3x Solving 4 + 11a = 2 + -1a + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 4 + 11a + a = 2 + -1a + a + 3x Combine like terms: 11a + a = 12a 4 + 12a = 2 + -1a + a + 3x Combine like terms: -1a + a = 0 4 + 12a = 2 + 0 + 3x 4 + 12a = 2 + 3x Add '-4' to each side of the equation. 4 + -4 + 12a = 2 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + 12a = 2 + -4 + 3x 12a = 2 + -4 + 3x Combine like terms: 2 + -4 = -2 12a = -2 + 3x Divide each side by '12'. a = -0.1666666667 + 0.25x Simplifying a = -0.1666666667 + 0.25x
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