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Simplifying 6(2a + 10) = 5(a + 5) Reorder the terms: 6(10 + 2a) = 5(a + 5) (10 * 6 + 2a * 6) = 5(a + 5) (60 + 12a) = 5(a + 5) Reorder the terms: 60 + 12a = 5(5 + a) 60 + 12a = (5 * 5 + a * 5) 60 + 12a = (25 + 5a) Solving 60 + 12a = 25 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 60 + 12a + -5a = 25 + 5a + -5a Combine like terms: 12a + -5a = 7a 60 + 7a = 25 + 5a + -5a Combine like terms: 5a + -5a = 0 60 + 7a = 25 + 0 60 + 7a = 25 Add '-60' to each side of the equation. 60 + -60 + 7a = 25 + -60 Combine like terms: 60 + -60 = 0 0 + 7a = 25 + -60 7a = 25 + -60 Combine like terms: 25 + -60 = -35 7a = -35 Divide each side by '7'. a = -5 Simplifying a = -5
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