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Simplifying 10a + 3b = 12b + 7a Reorder the terms: 10a + 3b = 7a + 12b Solving 10a + 3b = 7a + 12b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 10a + -7a + 3b = 7a + -7a + 12b Combine like terms: 10a + -7a = 3a 3a + 3b = 7a + -7a + 12b Combine like terms: 7a + -7a = 0 3a + 3b = 0 + 12b 3a + 3b = 12b Add '-3b' to each side of the equation. 3a + 3b + -3b = 12b + -3b Combine like terms: 3b + -3b = 0 3a + 0 = 12b + -3b 3a = 12b + -3b Combine like terms: 12b + -3b = 9b 3a = 9b Divide each side by '3'. a = 3b Simplifying a = 3b
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