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Simplifying 24a + -22 = -5(1 + -6a) Reorder the terms: -22 + 24a = -5(1 + -6a) -22 + 24a = (1 * -5 + -6a * -5) -22 + 24a = (-5 + 30a) Solving -22 + 24a = -5 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -22 + 24a + -30a = -5 + 30a + -30a Combine like terms: 24a + -30a = -6a -22 + -6a = -5 + 30a + -30a Combine like terms: 30a + -30a = 0 -22 + -6a = -5 + 0 -22 + -6a = -5 Add '22' to each side of the equation. -22 + 22 + -6a = -5 + 22 Combine like terms: -22 + 22 = 0 0 + -6a = -5 + 22 -6a = -5 + 22 Combine like terms: -5 + 22 = 17 -6a = 17 Divide each side by '-6'. a = -2.833333333 Simplifying a = -2.833333333
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