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Simplifying 31 + -6a = 15 + -4a Solving 31 + -6a = 15 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 31 + -6a + 4a = 15 + -4a + 4a Combine like terms: -6a + 4a = -2a 31 + -2a = 15 + -4a + 4a Combine like terms: -4a + 4a = 0 31 + -2a = 15 + 0 31 + -2a = 15 Add '-31' to each side of the equation. 31 + -31 + -2a = 15 + -31 Combine like terms: 31 + -31 = 0 0 + -2a = 15 + -31 -2a = 15 + -31 Combine like terms: 15 + -31 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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