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Simplifying 4a + 5 = a + 13 Reorder the terms: 5 + 4a = a + 13 Reorder the terms: 5 + 4a = 13 + a Solving 5 + 4a = 13 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 5 + 4a + -1a = 13 + a + -1a Combine like terms: 4a + -1a = 3a 5 + 3a = 13 + a + -1a Combine like terms: a + -1a = 0 5 + 3a = 13 + 0 5 + 3a = 13 Add '-5' to each side of the equation. 5 + -5 + 3a = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 13 + -5 3a = 13 + -5 Combine like terms: 13 + -5 = 8 3a = 8 Divide each side by '3'. a = 2.666666667 Simplifying a = 2.666666667
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