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Simplifying 24a + -22 = -3(1 + -6a) Reorder the terms: -22 + 24a = -3(1 + -6a) -22 + 24a = (1 * -3 + -6a * -3) -22 + 24a = (-3 + 18a) Solving -22 + 24a = -3 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -22 + 24a + -18a = -3 + 18a + -18a Combine like terms: 24a + -18a = 6a -22 + 6a = -3 + 18a + -18a Combine like terms: 18a + -18a = 0 -22 + 6a = -3 + 0 -22 + 6a = -3 Add '22' to each side of the equation. -22 + 22 + 6a = -3 + 22 Combine like terms: -22 + 22 = 0 0 + 6a = -3 + 22 6a = -3 + 22 Combine like terms: -3 + 22 = 19 6a = 19 Divide each side by '6'. a = 3.166666667 Simplifying a = 3.166666667
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