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Simplifying 24a + -22 = 4(1 + -6a) Reorder the terms: -22 + 24a = 4(1 + -6a) -22 + 24a = (1 * 4 + -6a * 4) -22 + 24a = (4 + -24a) Solving -22 + 24a = 4 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -22 + 24a + 24a = 4 + -24a + 24a Combine like terms: 24a + 24a = 48a -22 + 48a = 4 + -24a + 24a Combine like terms: -24a + 24a = 0 -22 + 48a = 4 + 0 -22 + 48a = 4 Add '22' to each side of the equation. -22 + 22 + 48a = 4 + 22 Combine like terms: -22 + 22 = 0 0 + 48a = 4 + 22 48a = 4 + 22 Combine like terms: 4 + 22 = 26 48a = 26 Divide each side by '48'. a = 0.5416666667 Simplifying a = 0.5416666667
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