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Simplifying 7 + 6(-6a + 7) = -167 Reorder the terms: 7 + 6(7 + -6a) = -167 7 + (7 * 6 + -6a * 6) = -167 7 + (42 + -36a) = -167 Combine like terms: 7 + 42 = 49 49 + -36a = -167 Solving 49 + -36a = -167 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -36a = -167 + -49 Combine like terms: 49 + -49 = 0 0 + -36a = -167 + -49 -36a = -167 + -49 Combine like terms: -167 + -49 = -216 -36a = -216 Divide each side by '-36'. a = 6 Simplifying a = 6
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