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Simplifying 3a + 2b + 31 = 100 Reorder the terms: 31 + 3a + 2b = 100 Solving 31 + 3a + 2b = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + 3a + -31 + 2b = 100 + -31 Reorder the terms: 31 + -31 + 3a + 2b = 100 + -31 Combine like terms: 31 + -31 = 0 0 + 3a + 2b = 100 + -31 3a + 2b = 100 + -31 Combine like terms: 100 + -31 = 69 3a + 2b = 69 Add '-2b' to each side of the equation. 3a + 2b + -2b = 69 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = 69 + -2b 3a = 69 + -2b Divide each side by '3'. a = 23 + -0.6666666667b Simplifying a = 23 + -0.6666666667b
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