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Simplifying 6(2a + 10) = 5(a + b) Reorder the terms: 6(10 + 2a) = 5(a + b) (10 * 6 + 2a * 6) = 5(a + b) (60 + 12a) = 5(a + b) 60 + 12a = (a * 5 + b * 5) 60 + 12a = (5a + 5b) Solving 60 + 12a = 5a + 5b 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 = 5a + -5a + 5b Combine like terms: 12a + -5a = 7a 60 + 7a = 5a + -5a + 5b Combine like terms: 5a + -5a = 0 60 + 7a = 0 + 5b 60 + 7a = 5b Add '-60' to each side of the equation. 60 + -60 + 7a = -60 + 5b Combine like terms: 60 + -60 = 0 0 + 7a = -60 + 5b 7a = -60 + 5b Divide each side by '7'. a = -8.571428571 + 0.7142857143b Simplifying a = -8.571428571 + 0.7142857143b
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