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Simplifying 10a + 4 = 7a + 31 Reorder the terms: 4 + 10a = 7a + 31 Reorder the terms: 4 + 10a = 31 + 7a Solving 4 + 10a = 31 + 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. 4 + 10a + -7a = 31 + 7a + -7a Combine like terms: 10a + -7a = 3a 4 + 3a = 31 + 7a + -7a Combine like terms: 7a + -7a = 0 4 + 3a = 31 + 0 4 + 3a = 31 Add '-4' to each side of the equation. 4 + -4 + 3a = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 31 + -4 3a = 31 + -4 Combine like terms: 31 + -4 = 27 3a = 27 Divide each side by '3'. a = 9 Simplifying a = 9
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