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Simplifying -4(9a + -1b) = 3(5a + 2b) (9a * -4 + -1b * -4) = 3(5a + 2b) (-36a + 4b) = 3(5a + 2b) -36a + 4b = (5a * 3 + 2b * 3) -36a + 4b = (15a + 6b) Solving -36a + 4b = 15a + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -36a + -15a + 4b = 15a + -15a + 6b Combine like terms: -36a + -15a = -51a -51a + 4b = 15a + -15a + 6b Combine like terms: 15a + -15a = 0 -51a + 4b = 0 + 6b -51a + 4b = 6b Add '-4b' to each side of the equation. -51a + 4b + -4b = 6b + -4b Combine like terms: 4b + -4b = 0 -51a + 0 = 6b + -4b -51a = 6b + -4b Combine like terms: 6b + -4b = 2b -51a = 2b Divide each side by '-51'. a = -0.03921568627b Simplifying a = -0.03921568627b
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