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Simplifying a(2) + b(3) = 82 Reorder the terms for easier multiplication: 2a + b(3) = 82 Reorder the terms for easier multiplication: 2a + 3b = 82 Solving 2a + 3b = 82 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b = 82 + -3b Combine like terms: 3b + -3b = 0 2a + 0 = 82 + -3b 2a = 82 + -3b Divide each side by '2'. a = 41 + -1.5b Simplifying a = 41 + -1.5b
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