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Simplifying 5a + 5b = 7b + -2a Reorder the terms: 5a + 5b = -2a + 7b Solving 5a + 5b = -2a + 7b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 5a + 2a + 5b = -2a + 2a + 7b Combine like terms: 5a + 2a = 7a 7a + 5b = -2a + 2a + 7b Combine like terms: -2a + 2a = 0 7a + 5b = 0 + 7b 7a + 5b = 7b Add '-5b' to each side of the equation. 7a + 5b + -5b = 7b + -5b Combine like terms: 5b + -5b = 0 7a + 0 = 7b + -5b 7a = 7b + -5b Combine like terms: 7b + -5b = 2b 7a = 2b Divide each side by '7'. a = 0.2857142857b Simplifying a = 0.2857142857b
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