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Simplifying (3a + 5b) + (a + -1b) = 0 Remove parenthesis around (3a + 5b) 3a + 5b + (a + -1b) = 0 Remove parenthesis around (a + -1b) 3a + 5b + a + -1b = 0 Reorder the terms: 3a + a + 5b + -1b = 0 Combine like terms: 3a + a = 4a 4a + 5b + -1b = 0 Combine like terms: 5b + -1b = 4b 4a + 4b = 0 Solving 4a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 4a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 4a + 0 = 0 + -4b 4a = 0 + -4b Remove the zero: 4a = -4b Divide each side by '4'. a = -1b Simplifying a = -1b
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