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Simplifying 5a + 11 = 10a + 31 Reorder the terms: 11 + 5a = 10a + 31 Reorder the terms: 11 + 5a = 31 + 10a Solving 11 + 5a = 31 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 11 + 5a + -10a = 31 + 10a + -10a Combine like terms: 5a + -10a = -5a 11 + -5a = 31 + 10a + -10a Combine like terms: 10a + -10a = 0 11 + -5a = 31 + 0 11 + -5a = 31 Add '-11' to each side of the equation. 11 + -11 + -5a = 31 + -11 Combine like terms: 11 + -11 = 0 0 + -5a = 31 + -11 -5a = 31 + -11 Combine like terms: 31 + -11 = 20 -5a = 20 Divide each side by '-5'. a = -4 Simplifying a = -4
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