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Simplifying 4(-3a + 5b) + -6(3a + -6b) = 0 (-3a * 4 + 5b * 4) + -6(3a + -6b) = 0 (-12a + 20b) + -6(3a + -6b) = 0 -12a + 20b + (3a * -6 + -6b * -6) = 0 -12a + 20b + (-18a + 36b) = 0 Reorder the terms: -12a + -18a + 20b + 36b = 0 Combine like terms: -12a + -18a = -30a -30a + 20b + 36b = 0 Combine like terms: 20b + 36b = 56b -30a + 56b = 0 Solving -30a + 56b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56b' to each side of the equation. -30a + 56b + -56b = 0 + -56b Combine like terms: 56b + -56b = 0 -30a + 0 = 0 + -56b -30a = 0 + -56b Remove the zero: -30a = -56b Divide each side by '-30'. a = 1.866666667b Simplifying a = 1.866666667b
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