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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 = -3a -3a + 4b + 3b = 0 Combine like terms: 4b + 3b = 7b -3a + 7b = 0 Solving -3a + 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. -3a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 -3a + 0 = 0 + -7b -3a = 0 + -7b Remove the zero: -3a = -7b Divide each side by '-3'. a = 2.333333333b Simplifying a = 2.333333333b
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