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Simplifying 5a + -7b + 17 + 7a + -2b + -3 = 0 Reorder the terms: 17 + -3 + 5a + 7a + -7b + -2b = 0 Combine like terms: 17 + -3 = 14 14 + 5a + 7a + -7b + -2b = 0 Combine like terms: 5a + 7a = 12a 14 + 12a + -7b + -2b = 0 Combine like terms: -7b + -2b = -9b 14 + 12a + -9b = 0 Solving 14 + 12a + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 12a + -14 + -9b = 0 + -14 Reorder the terms: 14 + -14 + 12a + -9b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12a + -9b = 0 + -14 12a + -9b = 0 + -14 Combine like terms: 0 + -14 = -14 12a + -9b = -14 Add '9b' to each side of the equation. 12a + -9b + 9b = -14 + 9b Combine like terms: -9b + 9b = 0 12a + 0 = -14 + 9b 12a = -14 + 9b Divide each side by '12'. a = -1.166666667 + 0.75b Simplifying a = -1.166666667 + 0.75b
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