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Simplifying 4a + (13a + -4b) + -1(12a + -14b) = 0 Remove parenthesis around (13a + -4b) 4a + 13a + -4b + -1(12a + -14b) = 0 4a + 13a + -4b + (12a * -1 + -14b * -1) = 0 4a + 13a + -4b + (-12a + 14b) = 0 Reorder the terms: 4a + 13a + -12a + -4b + 14b = 0 Combine like terms: 4a + 13a = 17a 17a + -12a + -4b + 14b = 0 Combine like terms: 17a + -12a = 5a 5a + -4b + 14b = 0 Combine like terms: -4b + 14b = 10b 5a + 10b = 0 Solving 5a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 5a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 5a + 0 = 0 + -10b 5a = 0 + -10b Remove the zero: 5a = -10b Divide each side by '5'. a = -2b Simplifying a = -2b
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