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Simplifying 12(a + -7) = -6 + -6 Reorder the terms: 12(-7 + a) = -6 + -6 (-7 * 12 + a * 12) = -6 + -6 (-84 + 12a) = -6 + -6 Combine like terms: -6 + -6 = -12 -84 + 12a = -12 Solving -84 + 12a = -12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 12a = -12 + 84 Combine like terms: -84 + 84 = 0 0 + 12a = -12 + 84 12a = -12 + 84 Combine like terms: -12 + 84 = 72 12a = 72 Divide each side by '12'. a = 6 Simplifying a = 6
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