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Simplifying 6(a + 12) + -1a = -2a + -12 Reorder the terms: 6(12 + a) + -1a = -2a + -12 (12 * 6 + a * 6) + -1a = -2a + -12 (72 + 6a) + -1a = -2a + -12 Combine like terms: 6a + -1a = 5a 72 + 5a = -2a + -12 Reorder the terms: 72 + 5a = -12 + -2a Solving 72 + 5a = -12 + -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. 72 + 5a + 2a = -12 + -2a + 2a Combine like terms: 5a + 2a = 7a 72 + 7a = -12 + -2a + 2a Combine like terms: -2a + 2a = 0 72 + 7a = -12 + 0 72 + 7a = -12 Add '-72' to each side of the equation. 72 + -72 + 7a = -12 + -72 Combine like terms: 72 + -72 = 0 0 + 7a = -12 + -72 7a = -12 + -72 Combine like terms: -12 + -72 = -84 7a = -84 Divide each side by '7'. a = -12 Simplifying a = -12
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