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Simplifying 3a + 4b + 6a + -9b + -12 = 0 Reorder the terms: -12 + 3a + 6a + 4b + -9b = 0 Combine like terms: 3a + 6a = 9a -12 + 9a + 4b + -9b = 0 Combine like terms: 4b + -9b = -5b -12 + 9a + -5b = 0 Solving -12 + 9a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 9a + 12 + -5b = 0 + 12 Reorder the terms: -12 + 12 + 9a + -5b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 9a + -5b = 0 + 12 9a + -5b = 0 + 12 Combine like terms: 0 + 12 = 12 9a + -5b = 12 Add '5b' to each side of the equation. 9a + -5b + 5b = 12 + 5b Combine like terms: -5b + 5b = 0 9a + 0 = 12 + 5b 9a = 12 + 5b Divide each side by '9'. a = 1.333333333 + 0.5555555556b Simplifying a = 1.333333333 + 0.5555555556b
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