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Simplifying 3(a + b) + 15 + -1a + 2b = 0 (a * 3 + b * 3) + 15 + -1a + 2b = 0 (3a + 3b) + 15 + -1a + 2b = 0 Reorder the terms: 15 + 3a + -1a + 3b + 2b = 0 Combine like terms: 3a + -1a = 2a 15 + 2a + 3b + 2b = 0 Combine like terms: 3b + 2b = 5b 15 + 2a + 5b = 0 Solving 15 + 2a + 5b = 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 + 5b = 0 + -15 Reorder the terms: 15 + -15 + 2a + 5b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2a + 5b = 0 + -15 2a + 5b = 0 + -15 Combine like terms: 0 + -15 = -15 2a + 5b = -15 Add '-5b' to each side of the equation. 2a + 5b + -5b = -15 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = -15 + -5b 2a = -15 + -5b Divide each side by '2'. a = -7.5 + -2.5b Simplifying a = -7.5 + -2.5b
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