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