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Simplifying 4(3a + 2) + 5a = -6a + 31 Reorder the terms: 4(2 + 3a) + 5a = -6a + 31 (2 * 4 + 3a * 4) + 5a = -6a + 31 (8 + 12a) + 5a = -6a + 31 Combine like terms: 12a + 5a = 17a 8 + 17a = -6a + 31 Reorder the terms: 8 + 17a = 31 + -6a Solving 8 + 17a = 31 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 8 + 17a + 6a = 31 + -6a + 6a Combine like terms: 17a + 6a = 23a 8 + 23a = 31 + -6a + 6a Combine like terms: -6a + 6a = 0 8 + 23a = 31 + 0 8 + 23a = 31 Add '-8' to each side of the equation. 8 + -8 + 23a = 31 + -8 Combine like terms: 8 + -8 = 0 0 + 23a = 31 + -8 23a = 31 + -8 Combine like terms: 31 + -8 = 23 23a = 23 Divide each side by '23'. a = 1 Simplifying a = 1
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