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Simplifying 14a + -23 = 4a + 27 Reorder the terms: -23 + 14a = 4a + 27 Reorder the terms: -23 + 14a = 27 + 4a Solving -23 + 14a = 27 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -23 + 14a + -4a = 27 + 4a + -4a Combine like terms: 14a + -4a = 10a -23 + 10a = 27 + 4a + -4a Combine like terms: 4a + -4a = 0 -23 + 10a = 27 + 0 -23 + 10a = 27 Add '23' to each side of the equation. -23 + 23 + 10a = 27 + 23 Combine like terms: -23 + 23 = 0 0 + 10a = 27 + 23 10a = 27 + 23 Combine like terms: 27 + 23 = 50 10a = 50 Divide each side by '10'. a = 5 Simplifying a = 5
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