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Simplifying 4a + 3 + 2b + 5 + 2a + b = 32 Reorder the terms: 3 + 5 + 4a + 2a + 2b + b = 32 Combine like terms: 3 + 5 = 8 8 + 4a + 2a + 2b + b = 32 Combine like terms: 4a + 2a = 6a 8 + 6a + 2b + b = 32 Combine like terms: 2b + b = 3b 8 + 6a + 3b = 32 Solving 8 + 6a + 3b = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 6a + -8 + 3b = 32 + -8 Reorder the terms: 8 + -8 + 6a + 3b = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 6a + 3b = 32 + -8 6a + 3b = 32 + -8 Combine like terms: 32 + -8 = 24 6a + 3b = 24 Add '-3b' to each side of the equation. 6a + 3b + -3b = 24 + -3b Combine like terms: 3b + -3b = 0 6a + 0 = 24 + -3b 6a = 24 + -3b Divide each side by '6'. a = 4 + -0.5b Simplifying a = 4 + -0.5b
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