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Simplifying 3(-3a + 4b) + -6(6a + -2b) = 0 (-3a * 3 + 4b * 3) + -6(6a + -2b) = 0 (-9a + 12b) + -6(6a + -2b) = 0 -9a + 12b + (6a * -6 + -2b * -6) = 0 -9a + 12b + (-36a + 12b) = 0 Reorder the terms: -9a + -36a + 12b + 12b = 0 Combine like terms: -9a + -36a = -45a -45a + 12b + 12b = 0 Combine like terms: 12b + 12b = 24b -45a + 24b = 0 Solving -45a + 24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24b' to each side of the equation. -45a + 24b + -24b = 0 + -24b Combine like terms: 24b + -24b = 0 -45a + 0 = 0 + -24b -45a = 0 + -24b Remove the zero: -45a = -24b Divide each side by '-45'. a = 0.5333333333b Simplifying a = 0.5333333333b
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