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Simplifying 9 + -7(a + -6) = -12 Reorder the terms: 9 + -7(-6 + a) = -12 9 + (-6 * -7 + a * -7) = -12 9 + (42 + -7a) = -12 Combine like terms: 9 + 42 = 51 51 + -7a = -12 Solving 51 + -7a = -12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -7a = -12 + -51 Combine like terms: 51 + -51 = 0 0 + -7a = -12 + -51 -7a = -12 + -51 Combine like terms: -12 + -51 = -63 -7a = -63 Divide each side by '-7'. a = 9 Simplifying a = 9
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