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Simplifying 31 + -1a = 3(5 + -1a) + -2a 31 + -1a = (5 * 3 + -1a * 3) + -2a 31 + -1a = (15 + -3a) + -2a Combine like terms: -3a + -2a = -5a 31 + -1a = 15 + -5a Solving 31 + -1a = 15 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 31 + -1a + 5a = 15 + -5a + 5a Combine like terms: -1a + 5a = 4a 31 + 4a = 15 + -5a + 5a Combine like terms: -5a + 5a = 0 31 + 4a = 15 + 0 31 + 4a = 15 Add '-31' to each side of the equation. 31 + -31 + 4a = 15 + -31 Combine like terms: 31 + -31 = 0 0 + 4a = 15 + -31 4a = 15 + -31 Combine like terms: 15 + -31 = -16 4a = -16 Divide each side by '4'. a = -4 Simplifying a = -4
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