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Simplifying 6(a + 4) = 24a Reorder the terms: 6(4 + a) = 24a (4 * 6 + a * 6) = 24a (24 + 6a) = 24a Solving 24 + 6a = 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. 24 + 6a + -24a = 24a + -24a Combine like terms: 6a + -24a = -18a 24 + -18a = 24a + -24a Combine like terms: 24a + -24a = 0 24 + -18a = 0 Add '-24' to each side of the equation. 24 + -24 + -18a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -18a = 0 + -24 -18a = 0 + -24 Combine like terms: 0 + -24 = -24 -18a = -24 Divide each side by '-18'. a = 1.333333333 Simplifying a = 1.333333333
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