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Simplifying 15a + -12b + -1(a + -3b) + -1(9a + 6b) = 0 15a + -12b + (a * -1 + -3b * -1) + -1(9a + 6b) = 0 15a + -12b + (-1a + 3b) + -1(9a + 6b) = 0 15a + -12b + -1a + 3b + (9a * -1 + 6b * -1) = 0 15a + -12b + -1a + 3b + (-9a + -6b) = 0 Reorder the terms: 15a + -1a + -9a + -12b + 3b + -6b = 0 Combine like terms: 15a + -1a = 14a 14a + -9a + -12b + 3b + -6b = 0 Combine like terms: 14a + -9a = 5a 5a + -12b + 3b + -6b = 0 Combine like terms: -12b + 3b = -9b 5a + -9b + -6b = 0 Combine like terms: -9b + -6b = -15b 5a + -15b = 0 Solving 5a + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15b' to each side of the equation. 5a + -15b + 15b = 0 + 15b Combine like terms: -15b + 15b = 0 5a + 0 = 0 + 15b 5a = 0 + 15b Remove the zero: 5a = 15b Divide each side by '5'. a = 3b Simplifying a = 3b
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