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Simplifying 12a + 10b + -5a + 17b + 46 = 9 Reorder the terms: 46 + 12a + -5a + 10b + 17b = 9 Combine like terms: 12a + -5a = 7a 46 + 7a + 10b + 17b = 9 Combine like terms: 10b + 17b = 27b 46 + 7a + 27b = 9 Solving 46 + 7a + 27b = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + 7a + -46 + 27b = 9 + -46 Reorder the terms: 46 + -46 + 7a + 27b = 9 + -46 Combine like terms: 46 + -46 = 0 0 + 7a + 27b = 9 + -46 7a + 27b = 9 + -46 Combine like terms: 9 + -46 = -37 7a + 27b = -37 Add '-27b' to each side of the equation. 7a + 27b + -27b = -37 + -27b Combine like terms: 27b + -27b = 0 7a + 0 = -37 + -27b 7a = -37 + -27b Divide each side by '7'. a = -5.285714286 + -3.857142857b Simplifying a = -5.285714286 + -3.857142857b
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