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Simplifying 3a + -4b + 6 + 9a + -5b + -9 = 0 Reorder the terms: 6 + -9 + 3a + 9a + -4b + -5b = 0 Combine like terms: 6 + -9 = -3 -3 + 3a + 9a + -4b + -5b = 0 Combine like terms: 3a + 9a = 12a -3 + 12a + -4b + -5b = 0 Combine like terms: -4b + -5b = -9b -3 + 12a + -9b = 0 Solving -3 + 12a + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12a + 3 + -9b = 0 + 3 Reorder the terms: -3 + 3 + 12a + -9b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12a + -9b = 0 + 3 12a + -9b = 0 + 3 Combine like terms: 0 + 3 = 3 12a + -9b = 3 Add '9b' to each side of the equation. 12a + -9b + 9b = 3 + 9b Combine like terms: -9b + 9b = 0 12a + 0 = 3 + 9b 12a = 3 + 9b Divide each side by '12'. a = 0.25 + 0.75b Simplifying a = 0.25 + 0.75b
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