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Simplifying 2(4a + 4b) = 6(9a + 8b) (4a * 2 + 4b * 2) = 6(9a + 8b) (8a + 8b) = 6(9a + 8b) 8a + 8b = (9a * 6 + 8b * 6) 8a + 8b = (54a + 48b) Solving 8a + 8b = 54a + 48b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54a' to each side of the equation. 8a + -54a + 8b = 54a + -54a + 48b Combine like terms: 8a + -54a = -46a -46a + 8b = 54a + -54a + 48b Combine like terms: 54a + -54a = 0 -46a + 8b = 0 + 48b -46a + 8b = 48b Add '-8b' to each side of the equation. -46a + 8b + -8b = 48b + -8b Combine like terms: 8b + -8b = 0 -46a + 0 = 48b + -8b -46a = 48b + -8b Combine like terms: 48b + -8b = 40b -46a = 40b Divide each side by '-46'. a = -0.8695652174b Simplifying a = -0.8695652174b
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