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Simplifying (a + -5b) + (2a + 14b) = 0 Remove parenthesis around (a + -5b) a + -5b + (2a + 14b) = 0 Remove parenthesis around (2a + 14b) a + -5b + 2a + 14b = 0 Reorder the terms: a + 2a + -5b + 14b = 0 Combine like terms: a + 2a = 3a 3a + -5b + 14b = 0 Combine like terms: -5b + 14b = 9b 3a + 9b = 0 Solving 3a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 3a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 3a + 0 = 0 + -9b 3a = 0 + -9b Remove the zero: 3a = -9b Divide each side by '3'. a = -3b Simplifying a = -3b
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