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Simplifying 5a + 14 = 114 + -5a Reorder the terms: 14 + 5a = 114 + -5a Solving 14 + 5a = 114 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 14 + 5a + 5a = 114 + -5a + 5a Combine like terms: 5a + 5a = 10a 14 + 10a = 114 + -5a + 5a Combine like terms: -5a + 5a = 0 14 + 10a = 114 + 0 14 + 10a = 114 Add '-14' to each side of the equation. 14 + -14 + 10a = 114 + -14 Combine like terms: 14 + -14 = 0 0 + 10a = 114 + -14 10a = 114 + -14 Combine like terms: 114 + -14 = 100 10a = 100 Divide each side by '10'. a = 10 Simplifying a = 10
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