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Simplifying (12a + 19b) + (-6a + -15b) = 0 Remove parenthesis around (12a + 19b) 12a + 19b + (-6a + -15b) = 0 Remove parenthesis around (-6a + -15b) 12a + 19b + -6a + -15b = 0 Reorder the terms: 12a + -6a + 19b + -15b = 0 Combine like terms: 12a + -6a = 6a 6a + 19b + -15b = 0 Combine like terms: 19b + -15b = 4b 6a + 4b = 0 Solving 6a + 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. 6a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 6a + 0 = 0 + -4b 6a = 0 + -4b Remove the zero: 6a = -4b Divide each side by '6'. a = -0.6666666667b Simplifying a = -0.6666666667b
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