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Simplifying 24a + -22 = 4(2 + -6a) Reorder the terms: -22 + 24a = 4(2 + -6a) -22 + 24a = (2 * 4 + -6a * 4) -22 + 24a = (8 + -24a) Solving -22 + 24a = 8 + -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 = 8 + -24a + 24a Combine like terms: 24a + 24a = 48a -22 + 48a = 8 + -24a + 24a Combine like terms: -24a + 24a = 0 -22 + 48a = 8 + 0 -22 + 48a = 8 Add '22' to each side of the equation. -22 + 22 + 48a = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 48a = 8 + 22 48a = 8 + 22 Combine like terms: 8 + 22 = 30 48a = 30 Divide each side by '48'. a = 0.625 Simplifying a = 0.625
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