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Simplifying 2(7a + 4b) = 6(10a + 9b) (7a * 2 + 4b * 2) = 6(10a + 9b) (14a + 8b) = 6(10a + 9b) 14a + 8b = (10a * 6 + 9b * 6) 14a + 8b = (60a + 54b) Solving 14a + 8b = 60a + 54b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. 14a + -60a + 8b = 60a + -60a + 54b Combine like terms: 14a + -60a = -46a -46a + 8b = 60a + -60a + 54b Combine like terms: 60a + -60a = 0 -46a + 8b = 0 + 54b -46a + 8b = 54b Add '-8b' to each side of the equation. -46a + 8b + -8b = 54b + -8b Combine like terms: 8b + -8b = 0 -46a + 0 = 54b + -8b -46a = 54b + -8b Combine like terms: 54b + -8b = 46b -46a = 46b Divide each side by '-46'. a = -1b Simplifying a = -1b
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