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Simplifying 13a + 43 = 3a + 53 Reorder the terms: 43 + 13a = 3a + 53 Reorder the terms: 43 + 13a = 53 + 3a Solving 43 + 13a = 53 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 43 + 13a + -3a = 53 + 3a + -3a Combine like terms: 13a + -3a = 10a 43 + 10a = 53 + 3a + -3a Combine like terms: 3a + -3a = 0 43 + 10a = 53 + 0 43 + 10a = 53 Add '-43' to each side of the equation. 43 + -43 + 10a = 53 + -43 Combine like terms: 43 + -43 = 0 0 + 10a = 53 + -43 10a = 53 + -43 Combine like terms: 53 + -43 = 10 10a = 10 Divide each side by '10'. a = 1 Simplifying a = 1
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