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Simplifying 12a + -4(5a + -1) = 2(3 + 6) + -4a Reorder the terms: 12a + -4(-1 + 5a) = 2(3 + 6) + -4a 12a + (-1 * -4 + 5a * -4) = 2(3 + 6) + -4a 12a + (4 + -20a) = 2(3 + 6) + -4a Reorder the terms: 4 + 12a + -20a = 2(3 + 6) + -4a Combine like terms: 12a + -20a = -8a 4 + -8a = 2(3 + 6) + -4a Combine like terms: 3 + 6 = 9 4 + -8a = 2(9) + -4a Multiply 2 * 9 4 + -8a = 18 + -4a Solving 4 + -8a = 18 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 4 + -8a + 4a = 18 + -4a + 4a Combine like terms: -8a + 4a = -4a 4 + -4a = 18 + -4a + 4a Combine like terms: -4a + 4a = 0 4 + -4a = 18 + 0 4 + -4a = 18 Add '-4' to each side of the equation. 4 + -4 + -4a = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = 18 + -4 -4a = 18 + -4 Combine like terms: 18 + -4 = 14 -4a = 14 Divide each side by '-4'. a = -3.5 Simplifying a = -3.5
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