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Simplifying 4a + 31 = 7a + 10 Reorder the terms: 31 + 4a = 7a + 10 Reorder the terms: 31 + 4a = 10 + 7a Solving 31 + 4a = 10 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 31 + 4a + -7a = 10 + 7a + -7a Combine like terms: 4a + -7a = -3a 31 + -3a = 10 + 7a + -7a Combine like terms: 7a + -7a = 0 31 + -3a = 10 + 0 31 + -3a = 10 Add '-31' to each side of the equation. 31 + -31 + -3a = 10 + -31 Combine like terms: 31 + -31 = 0 0 + -3a = 10 + -31 -3a = 10 + -31 Combine like terms: 10 + -31 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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