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Simplifying (a * 8) + 24 = (a * 6) + 76 Reorder the terms for easier multiplication: (8a) + 24 = (a * 6) + 76 Reorder the terms: 24 + (8a) = (a * 6) + 76 Reorder the terms for easier multiplication: 24 + (8a) = (6a) + 76 Reorder the terms: 24 + (8a) = 76 + (6a) Solving 24 + (8a) = 76 + (6a) Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '(-6a)' to each side of the equation. 24 + (8a) + (-6a) = 76 + (6a) + (-6a) Combine like terms: (8a) + (-6a) = 2a 24 + 2a = 76 + (6a) + (-6a) Combine like terms: (6a) + (-6a) = 0 24 + 2a = 76 + 0 24 + 2a = 76 Add '-24' to each side of the equation. 24 + -24 + 2a = 76 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = 76 + -24 2a = 76 + -24 Combine like terms: 76 + -24 = 52 2a = 52 Divide each side by '2'. a = 26 Simplifying a = 26
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