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Simplifying -6(1 + -6a) + -5(a + -6) = -7 (1 * -6 + -6a * -6) + -5(a + -6) = -7 (-6 + 36a) + -5(a + -6) = -7 Reorder the terms: -6 + 36a + -5(-6 + a) = -7 -6 + 36a + (-6 * -5 + a * -5) = -7 -6 + 36a + (30 + -5a) = -7 Reorder the terms: -6 + 30 + 36a + -5a = -7 Combine like terms: -6 + 30 = 24 24 + 36a + -5a = -7 Combine like terms: 36a + -5a = 31a 24 + 31a = -7 Solving 24 + 31a = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 31a = -7 + -24 Combine like terms: 24 + -24 = 0 0 + 31a = -7 + -24 31a = -7 + -24 Combine like terms: -7 + -24 = -31 31a = -31 Divide each side by '31'. a = -1 Simplifying a = -1
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