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Simplifying 3(a + 5) + 7b + -1a + b = 0 Reorder the terms: 3(5 + a) + 7b + -1a + b = 0 (5 * 3 + a * 3) + 7b + -1a + b = 0 (15 + 3a) + 7b + -1a + b = 0 Reorder the terms: 15 + 3a + -1a + 7b + b = 0 Combine like terms: 3a + -1a = 2a 15 + 2a + 7b + b = 0 Combine like terms: 7b + b = 8b 15 + 2a + 8b = 0 Solving 15 + 2a + 8b = 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 + 8b = 0 + -15 Reorder the terms: 15 + -15 + 2a + 8b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2a + 8b = 0 + -15 2a + 8b = 0 + -15 Combine like terms: 0 + -15 = -15 2a + 8b = -15 Add '-8b' to each side of the equation. 2a + 8b + -8b = -15 + -8b Combine like terms: 8b + -8b = 0 2a + 0 = -15 + -8b 2a = -15 + -8b Divide each side by '2'. a = -7.5 + -4b Simplifying a = -7.5 + -4b
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