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Simplifying 12 = -1(6 + -6a) + -3(a + -6) 12 = (6 * -1 + -6a * -1) + -3(a + -6) 12 = (-6 + 6a) + -3(a + -6) Reorder the terms: 12 = -6 + 6a + -3(-6 + a) 12 = -6 + 6a + (-6 * -3 + a * -3) 12 = -6 + 6a + (18 + -3a) Reorder the terms: 12 = -6 + 18 + 6a + -3a Combine like terms: -6 + 18 = 12 12 = 12 + 6a + -3a Combine like terms: 6a + -3a = 3a 12 = 12 + 3a Add '-12' to each side of the equation. 12 + -12 = 12 + -12 + 3a Combine like terms: 12 + -12 = 0 0 = 12 + -12 + 3a Combine like terms: 12 + -12 = 0 0 = 0 + 3a 0 = 3a Solving 0 = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 0 + -3a = 3a + -3a Remove the zero: -3a = 3a + -3a Combine like terms: 3a + -3a = 0 -3a = 0 Divide each side by '-3'. a = 0 Simplifying a = 0
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