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Simplifying 6(5a + 6) = 6(a + -6) Reorder the terms: 6(6 + 5a) = 6(a + -6) (6 * 6 + 5a * 6) = 6(a + -6) (36 + 30a) = 6(a + -6) Reorder the terms: 36 + 30a = 6(-6 + a) 36 + 30a = (-6 * 6 + a * 6) 36 + 30a = (-36 + 6a) Solving 36 + 30a = -36 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 36 + 30a + -6a = -36 + 6a + -6a Combine like terms: 30a + -6a = 24a 36 + 24a = -36 + 6a + -6a Combine like terms: 6a + -6a = 0 36 + 24a = -36 + 0 36 + 24a = -36 Add '-36' to each side of the equation. 36 + -36 + 24a = -36 + -36 Combine like terms: 36 + -36 = 0 0 + 24a = -36 + -36 24a = -36 + -36 Combine like terms: -36 + -36 = -72 24a = -72 Divide each side by '24'. a = -3 Simplifying a = -3
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