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Simplifying 2b + 2a + 3b + 4a = 32 Reorder the terms: 2a + 4a + 2b + 3b = 32 Combine like terms: 2a + 4a = 6a 6a + 2b + 3b = 32 Combine like terms: 2b + 3b = 5b 6a + 5b = 32 Solving 6a + 5b = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 6a + 5b + -5b = 32 + -5b Combine like terms: 5b + -5b = 0 6a + 0 = 32 + -5b 6a = 32 + -5b Divide each side by '6'. a = 5.333333333 + -0.8333333333b Simplifying a = 5.333333333 + -0.8333333333b
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