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Simplifying 12a + 3b + -10a + -5b = 0 Reorder the terms: 12a + -10a + 3b + -5b = 0 Combine like terms: 12a + -10a = 2a 2a + 3b + -5b = 0 Combine like terms: 3b + -5b = -2b 2a + -2b = 0 Solving 2a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 2a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 2a + 0 = 0 + 2b 2a = 0 + 2b Remove the zero: 2a = 2b Divide each side by '2'. a = b Simplifying a = b
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