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Simplifying 4a + 5b + 9 + -2a + 8b + 6 = 0 Reorder the terms: 9 + 6 + 4a + -2a + 5b + 8b = 0 Combine like terms: 9 + 6 = 15 15 + 4a + -2a + 5b + 8b = 0 Combine like terms: 4a + -2a = 2a 15 + 2a + 5b + 8b = 0 Combine like terms: 5b + 8b = 13b 15 + 2a + 13b = 0 Solving 15 + 2a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 2a + -15 + 13b = 0 + -15 Reorder the terms: 15 + -15 + 2a + 13b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2a + 13b = 0 + -15 2a + 13b = 0 + -15 Combine like terms: 0 + -15 = -15 2a + 13b = -15 Add '-13b' to each side of the equation. 2a + 13b + -13b = -15 + -13b Combine like terms: 13b + -13b = 0 2a + 0 = -15 + -13b 2a = -15 + -13b Divide each side by '2'. a = -7.5 + -6.5b Simplifying a = -7.5 + -6.5b
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