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Simplifying 24a + -22 = -41(1 + 6a) Reorder the terms: -22 + 24a = -41(1 + 6a) -22 + 24a = (1 * -41 + 6a * -41) -22 + 24a = (-41 + -246a) Solving -22 + 24a = -41 + -246a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '246a' to each side of the equation. -22 + 24a + 246a = -41 + -246a + 246a Combine like terms: 24a + 246a = 270a -22 + 270a = -41 + -246a + 246a Combine like terms: -246a + 246a = 0 -22 + 270a = -41 + 0 -22 + 270a = -41 Add '22' to each side of the equation. -22 + 22 + 270a = -41 + 22 Combine like terms: -22 + 22 = 0 0 + 270a = -41 + 22 270a = -41 + 22 Combine like terms: -41 + 22 = -19 270a = -19 Divide each side by '270'. a = -0.07037037037 Simplifying a = -0.07037037037
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