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Simplifying 5a + 7b + 8a + 22 + 2b = 0 Reorder the terms: 22 + 5a + 8a + 7b + 2b = 0 Combine like terms: 5a + 8a = 13a 22 + 13a + 7b + 2b = 0 Combine like terms: 7b + 2b = 9b 22 + 13a + 9b = 0 Solving 22 + 13a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 13a + -22 + 9b = 0 + -22 Reorder the terms: 22 + -22 + 13a + 9b = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 13a + 9b = 0 + -22 13a + 9b = 0 + -22 Combine like terms: 0 + -22 = -22 13a + 9b = -22 Add '-9b' to each side of the equation. 13a + 9b + -9b = -22 + -9b Combine like terms: 9b + -9b = 0 13a + 0 = -22 + -9b 13a = -22 + -9b Divide each side by '13'. a = -1.692307692 + -0.6923076923b Simplifying a = -1.692307692 + -0.6923076923b
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