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Simplifying 2(3a + -2b) = 8(6a + -3b) (3a * 2 + -2b * 2) = 8(6a + -3b) (6a + -4b) = 8(6a + -3b) 6a + -4b = (6a * 8 + -3b * 8) 6a + -4b = (48a + -24b) Solving 6a + -4b = 48a + -24b 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. 6a + -48a + -4b = 48a + -48a + -24b Combine like terms: 6a + -48a = -42a -42a + -4b = 48a + -48a + -24b Combine like terms: 48a + -48a = 0 -42a + -4b = 0 + -24b -42a + -4b = -24b Add '4b' to each side of the equation. -42a + -4b + 4b = -24b + 4b Combine like terms: -4b + 4b = 0 -42a + 0 = -24b + 4b -42a = -24b + 4b Combine like terms: -24b + 4b = -20b -42a = -20b Divide each side by '-42'. a = 0.4761904762b Simplifying a = 0.4761904762b
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