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Simplifying a + 28 + 9a + 14 = 31a Reorder the terms: 28 + 14 + a + 9a = 31a Combine like terms: 28 + 14 = 42 42 + a + 9a = 31a Combine like terms: a + 9a = 10a 42 + 10a = 31a Solving 42 + 10a = 31a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-31a' to each side of the equation. 42 + 10a + -31a = 31a + -31a Combine like terms: 10a + -31a = -21a 42 + -21a = 31a + -31a Combine like terms: 31a + -31a = 0 42 + -21a = 0 Add '-42' to each side of the equation. 42 + -42 + -21a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -21a = 0 + -42 -21a = 0 + -42 Combine like terms: 0 + -42 = -42 -21a = -42 Divide each side by '-21'. a = 2 Simplifying a = 2
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