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Simplifying (15a + -7b) + -1(3a + -5b) = 0 Remove parenthesis around (15a + -7b) 15a + -7b + -1(3a + -5b) = 0 15a + -7b + (3a * -1 + -5b * -1) = 0 15a + -7b + (-3a + 5b) = 0 Reorder the terms: 15a + -3a + -7b + 5b = 0 Combine like terms: 15a + -3a = 12a 12a + -7b + 5b = 0 Combine like terms: -7b + 5b = -2b 12a + -2b = 0 Solving 12a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 12a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 12a + 0 = 0 + 2b 12a = 0 + 2b Remove the zero: 12a = 2b Divide each side by '12'. a = 0.1666666667b Simplifying a = 0.1666666667b
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