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Simplifying 7a + 3b + 5a + 12 + 4b = 0 Reorder the terms: 12 + 7a + 5a + 3b + 4b = 0 Combine like terms: 7a + 5a = 12a 12 + 12a + 3b + 4b = 0 Combine like terms: 3b + 4b = 7b 12 + 12a + 7b = 0 Solving 12 + 12a + 7b = 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 + 12a + -12 + 7b = 0 + -12 Reorder the terms: 12 + -12 + 12a + 7b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12a + 7b = 0 + -12 12a + 7b = 0 + -12 Combine like terms: 0 + -12 = -12 12a + 7b = -12 Add '-7b' to each side of the equation. 12a + 7b + -7b = -12 + -7b Combine like terms: 7b + -7b = 0 12a + 0 = -12 + -7b 12a = -12 + -7b Divide each side by '12'. a = -1 + -0.5833333333b Simplifying a = -1 + -0.5833333333b
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