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Simplifying 3(a + 6) + -2(a + -6) = 6 Reorder the terms: 3(6 + a) + -2(a + -6) = 6 (6 * 3 + a * 3) + -2(a + -6) = 6 (18 + 3a) + -2(a + -6) = 6 Reorder the terms: 18 + 3a + -2(-6 + a) = 6 18 + 3a + (-6 * -2 + a * -2) = 6 18 + 3a + (12 + -2a) = 6 Reorder the terms: 18 + 12 + 3a + -2a = 6 Combine like terms: 18 + 12 = 30 30 + 3a + -2a = 6 Combine like terms: 3a + -2a = 1a 30 + 1a = 6 Solving 30 + 1a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1a = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 1a = 6 + -30 1a = 6 + -30 Combine like terms: 6 + -30 = -24 1a = -24 Divide each side by '1'. a = -24 Simplifying a = -24
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