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Simplifying 2(4a + 5b) = 8(6a + 8b) (4a * 2 + 5b * 2) = 8(6a + 8b) (8a + 10b) = 8(6a + 8b) 8a + 10b = (6a * 8 + 8b * 8) 8a + 10b = (48a + 64b) Solving 8a + 10b = 48a + 64b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. 8a + -48a + 10b = 48a + -48a + 64b Combine like terms: 8a + -48a = -40a -40a + 10b = 48a + -48a + 64b Combine like terms: 48a + -48a = 0 -40a + 10b = 0 + 64b -40a + 10b = 64b Add '-10b' to each side of the equation. -40a + 10b + -10b = 64b + -10b Combine like terms: 10b + -10b = 0 -40a + 0 = 64b + -10b -40a = 64b + -10b Combine like terms: 64b + -10b = 54b -40a = 54b Divide each side by '-40'. a = -1.35b Simplifying a = -1.35b
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