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Simplifying 5 + 2a + 3b = 17 Solving 5 + 2a + 3b = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2a + -5 + 3b = 17 + -5 Reorder the terms: 5 + -5 + 2a + 3b = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 2a + 3b = 17 + -5 2a + 3b = 17 + -5 Combine like terms: 17 + -5 = 12 2a + 3b = 12 Add '-3b' to each side of the equation. 2a + 3b + -3b = 12 + -3b Combine like terms: 3b + -3b = 0 2a + 0 = 12 + -3b 2a = 12 + -3b Divide each side by '2'. a = 6 + -1.5b Simplifying a = 6 + -1.5b
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