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Simplifying 3a + 4b + 9a + -7 + 2b = 0 Reorder the terms: -7 + 3a + 9a + 4b + 2b = 0 Combine like terms: 3a + 9a = 12a -7 + 12a + 4b + 2b = 0 Combine like terms: 4b + 2b = 6b -7 + 12a + 6b = 0 Solving -7 + 12a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 12a + 7 + 6b = 0 + 7 Reorder the terms: -7 + 7 + 12a + 6b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12a + 6b = 0 + 7 12a + 6b = 0 + 7 Combine like terms: 0 + 7 = 7 12a + 6b = 7 Add '-6b' to each side of the equation. 12a + 6b + -6b = 7 + -6b Combine like terms: 6b + -6b = 0 12a + 0 = 7 + -6b 12a = 7 + -6b Divide each side by '12'. a = 0.5833333333 + -0.5b Simplifying a = 0.5833333333 + -0.5b
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