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Simplifying a + 7 + 4b + a + 3 + 5b = 0 Reorder the terms: 7 + 3 + a + a + 4b + 5b = 0 Combine like terms: 7 + 3 = 10 10 + a + a + 4b + 5b = 0 Combine like terms: a + a = 2a 10 + 2a + 4b + 5b = 0 Combine like terms: 4b + 5b = 9b 10 + 2a + 9b = 0 Solving 10 + 2a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2a + -10 + 9b = 0 + -10 Reorder the terms: 10 + -10 + 2a + 9b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2a + 9b = 0 + -10 2a + 9b = 0 + -10 Combine like terms: 0 + -10 = -10 2a + 9b = -10 Add '-9b' to each side of the equation. 2a + 9b + -9b = -10 + -9b Combine like terms: 9b + -9b = 0 2a + 0 = -10 + -9b 2a = -10 + -9b Divide each side by '2'. a = -5 + -4.5b Simplifying a = -5 + -4.5b
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