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Simplifying 4b + 7a = 4a + 7b Reorder the terms: 7a + 4b = 4a + 7b Solving 7a + 4b = 4a + 7b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 7a + -4a + 4b = 4a + -4a + 7b Combine like terms: 7a + -4a = 3a 3a + 4b = 4a + -4a + 7b Combine like terms: 4a + -4a = 0 3a + 4b = 0 + 7b 3a + 4b = 7b Add '-4b' to each side of the equation. 3a + 4b + -4b = 7b + -4b Combine like terms: 4b + -4b = 0 3a + 0 = 7b + -4b 3a = 7b + -4b Combine like terms: 7b + -4b = 3b 3a = 3b Divide each side by '3'. a = b Simplifying a = b
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