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Simplifying 3 + 5a = 31 + a(3) + -5a Reorder the terms for easier multiplication: 3 + 5a = 31 + 3a + -5a Combine like terms: 3a + -5a = -2a 3 + 5a = 31 + -2a Solving 3 + 5a = 31 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 3 + 5a + 2a = 31 + -2a + 2a Combine like terms: 5a + 2a = 7a 3 + 7a = 31 + -2a + 2a Combine like terms: -2a + 2a = 0 3 + 7a = 31 + 0 3 + 7a = 31 Add '-3' to each side of the equation. 3 + -3 + 7a = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 7a = 31 + -3 7a = 31 + -3 Combine like terms: 31 + -3 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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