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Simplifying 12a + -9b = 9(3a + -1b) 12a + -9b = (3a * 9 + -1b * 9) 12a + -9b = (27a + -9b) Add '9b' to each side of the equation. 12a + -9b + 9b = 27a + -9b + 9b Combine like terms: -9b + 9b = 0 12a + 0 = 27a + -9b + 9b 12a = 27a + -9b + 9b Combine like terms: -9b + 9b = 0 12a = 27a + 0 12a = 27a Solving 12a = 27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27a' to each side of the equation. 12a + -27a = 27a + -27a Combine like terms: 12a + -27a = -15a -15a = 27a + -27a Combine like terms: 27a + -27a = 0 -15a = 0 Divide each side by '-15'. a = 0 Simplifying a = 0
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