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Simplifying 3(a + -8) = 42 Reorder the terms: 3(-8 + a) = 42 (-8 * 3 + a * 3) = 42 (-24 + 3a) = 42 Solving -24 + 3a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 3a = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 3a = 42 + 24 3a = 42 + 24 Combine like terms: 42 + 24 = 66 3a = 66 Divide each side by '3'. a = 22 Simplifying a = 22
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