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Simplifying 6(5a + 7) + -7(-6 + -6a) = -60 Reorder the terms: 6(7 + 5a) + -7(-6 + -6a) = -60 (7 * 6 + 5a * 6) + -7(-6 + -6a) = -60 (42 + 30a) + -7(-6 + -6a) = -60 42 + 30a + (-6 * -7 + -6a * -7) = -60 42 + 30a + (42 + 42a) = -60 Reorder the terms: 42 + 42 + 30a + 42a = -60 Combine like terms: 42 + 42 = 84 84 + 30a + 42a = -60 Combine like terms: 30a + 42a = 72a 84 + 72a = -60 Solving 84 + 72a = -60 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 + 72a = -60 + -84 Combine like terms: 84 + -84 = 0 0 + 72a = -60 + -84 72a = -60 + -84 Combine like terms: -60 + -84 = -144 72a = -144 Divide each side by '72'. a = -2 Simplifying a = -2
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