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Simplifying 3(2a + -8) = 3(5 + a) Reorder the terms: 3(-8 + 2a) = 3(5 + a) (-8 * 3 + 2a * 3) = 3(5 + a) (-24 + 6a) = 3(5 + a) -24 + 6a = (5 * 3 + a * 3) -24 + 6a = (15 + 3a) Solving -24 + 6a = 15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -24 + 6a + -3a = 15 + 3a + -3a Combine like terms: 6a + -3a = 3a -24 + 3a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 3a = 15 + 0 -24 + 3a = 15 Add '24' to each side of the equation. -24 + 24 + 3a = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 3a = 15 + 24 3a = 15 + 24 Combine like terms: 15 + 24 = 39 3a = 39 Divide each side by '3'. a = 13 Simplifying a = 13
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