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Simplifying 3a + 4b + -1(-6a + -3b) = 0 3a + 4b + (-6a * -1 + -3b * -1) = 0 3a + 4b + (6a + 3b) = 0 Reorder the terms: 3a + 6a + 4b + 3b = 0 Combine like terms: 3a + 6a = 9a 9a + 4b + 3b = 0 Combine like terms: 4b + 3b = 7b 9a + 7b = 0 Solving 9a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 9a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 9a + 0 = 0 + -7b 9a = 0 + -7b Remove the zero: 9a = -7b Divide each side by '9'. a = -0.7777777778b Simplifying a = -0.7777777778b
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