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Simplifying 13a + 80 = 31a + -100 Reorder the terms: 80 + 13a = 31a + -100 Reorder the terms: 80 + 13a = -100 + 31a Solving 80 + 13a = -100 + 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. 80 + 13a + -31a = -100 + 31a + -31a Combine like terms: 13a + -31a = -18a 80 + -18a = -100 + 31a + -31a Combine like terms: 31a + -31a = 0 80 + -18a = -100 + 0 80 + -18a = -100 Add '-80' to each side of the equation. 80 + -80 + -18a = -100 + -80 Combine like terms: 80 + -80 = 0 0 + -18a = -100 + -80 -18a = -100 + -80 Combine like terms: -100 + -80 = -180 -18a = -180 Divide each side by '-18'. a = 10 Simplifying a = 10
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