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Simplifying 9a + -7b + 3a + -2b = 12a + -5b Reorder the terms: 9a + 3a + -7b + -2b = 12a + -5b Combine like terms: 9a + 3a = 12a 12a + -7b + -2b = 12a + -5b Combine like terms: -7b + -2b = -9b 12a + -9b = 12a + -5b Add '-12a' to each side of the equation. 12a + -12a + -9b = 12a + -12a + -5b Combine like terms: 12a + -12a = 0 0 + -9b = 12a + -12a + -5b -9b = 12a + -12a + -5b Combine like terms: 12a + -12a = 0 -9b = 0 + -5b -9b = -5b Solving -9b = -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -9b + 5b = -5b + 5b Combine like terms: -9b + 5b = -4b -4b = -5b + 5b Combine like terms: -5b + 5b = 0 -4b = 0 Divide each side by '-4'. b = 0 Simplifying b = 0
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