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Simplifying 3(a + 4) + b + -5 + -1a + 7(b + -3) = 0 Reorder the terms: 3(4 + a) + b + -5 + -1a + 7(b + -3) = 0 (4 * 3 + a * 3) + b + -5 + -1a + 7(b + -3) = 0 (12 + 3a) + b + -5 + -1a + 7(b + -3) = 0 Reorder the terms: 12 + 3a + b + -5 + -1a + 7(-3 + b) = 0 12 + 3a + b + -5 + -1a + (-3 * 7 + b * 7) = 0 12 + 3a + b + -5 + -1a + (-21 + 7b) = 0 Reorder the terms: 12 + -5 + -21 + 3a + -1a + b + 7b = 0 Combine like terms: 12 + -5 = 7 7 + -21 + 3a + -1a + b + 7b = 0 Combine like terms: 7 + -21 = -14 -14 + 3a + -1a + b + 7b = 0 Combine like terms: 3a + -1a = 2a -14 + 2a + b + 7b = 0 Combine like terms: b + 7b = 8b -14 + 2a + 8b = 0 Solving -14 + 2a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 2a + 14 + 8b = 0 + 14 Reorder the terms: -14 + 14 + 2a + 8b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2a + 8b = 0 + 14 2a + 8b = 0 + 14 Combine like terms: 0 + 14 = 14 2a + 8b = 14 Add '-8b' to each side of the equation. 2a + 8b + -8b = 14 + -8b Combine like terms: 8b + -8b = 0 2a + 0 = 14 + -8b 2a = 14 + -8b Divide each side by '2'. a = 7 + -4b Simplifying a = 7 + -4b
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