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Simplifying 5 + -5(-9a + -6) = 2 + -6(6 + 4a) Reorder the terms: 5 + -5(-6 + -9a) = 2 + -6(6 + 4a) 5 + (-6 * -5 + -9a * -5) = 2 + -6(6 + 4a) 5 + (30 + 45a) = 2 + -6(6 + 4a) Combine like terms: 5 + 30 = 35 35 + 45a = 2 + -6(6 + 4a) 35 + 45a = 2 + (6 * -6 + 4a * -6) 35 + 45a = 2 + (-36 + -24a) Combine like terms: 2 + -36 = -34 35 + 45a = -34 + -24a Solving 35 + 45a = -34 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 35 + 45a + 24a = -34 + -24a + 24a Combine like terms: 45a + 24a = 69a 35 + 69a = -34 + -24a + 24a Combine like terms: -24a + 24a = 0 35 + 69a = -34 + 0 35 + 69a = -34 Add '-35' to each side of the equation. 35 + -35 + 69a = -34 + -35 Combine like terms: 35 + -35 = 0 0 + 69a = -34 + -35 69a = -34 + -35 Combine like terms: -34 + -35 = -69 69a = -69 Divide each side by '69'. a = -1 Simplifying a = -1
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