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Simplifying 3(9a + 6b) + -1(5a + 2b) = 0 (9a * 3 + 6b * 3) + -1(5a + 2b) = 0 (27a + 18b) + -1(5a + 2b) = 0 27a + 18b + (5a * -1 + 2b * -1) = 0 27a + 18b + (-5a + -2b) = 0 Reorder the terms: 27a + -5a + 18b + -2b = 0 Combine like terms: 27a + -5a = 22a 22a + 18b + -2b = 0 Combine like terms: 18b + -2b = 16b 22a + 16b = 0 Solving 22a + 16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. 22a + 16b + -16b = 0 + -16b Combine like terms: 16b + -16b = 0 22a + 0 = 0 + -16b 22a = 0 + -16b Remove the zero: 22a = -16b Divide each side by '22'. a = -0.7272727273b Simplifying a = -0.7272727273b
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