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Simplifying 12a + 90 = 31a + -100 Reorder the terms: 90 + 12a = 31a + -100 Reorder the terms: 90 + 12a = -100 + 31a Solving 90 + 12a = -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. 90 + 12a + -31a = -100 + 31a + -31a Combine like terms: 12a + -31a = -19a 90 + -19a = -100 + 31a + -31a Combine like terms: 31a + -31a = 0 90 + -19a = -100 + 0 90 + -19a = -100 Add '-90' to each side of the equation. 90 + -90 + -19a = -100 + -90 Combine like terms: 90 + -90 = 0 0 + -19a = -100 + -90 -19a = -100 + -90 Combine like terms: -100 + -90 = -190 -19a = -190 Divide each side by '-19'. a = 10 Simplifying a = 10
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