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Simplifying 24a + -22 = 4 + -1(1 + -6a) Reorder the terms: -22 + 24a = 4 + -1(1 + -6a) -22 + 24a = 4 + (1 * -1 + -6a * -1) -22 + 24a = 4 + (-1 + 6a) Combine like terms: 4 + -1 = 3 -22 + 24a = 3 + 6a Solving -22 + 24a = 3 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -22 + 24a + -6a = 3 + 6a + -6a Combine like terms: 24a + -6a = 18a -22 + 18a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 -22 + 18a = 3 + 0 -22 + 18a = 3 Add '22' to each side of the equation. -22 + 22 + 18a = 3 + 22 Combine like terms: -22 + 22 = 0 0 + 18a = 3 + 22 18a = 3 + 22 Combine like terms: 3 + 22 = 25 18a = 25 Divide each side by '18'. a = 1.388888889 Simplifying a = 1.388888889
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