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Simplifying 7a + 15 = 4a + 38 Reorder the terms: 15 + 7a = 4a + 38 Reorder the terms: 15 + 7a = 38 + 4a Solving 15 + 7a = 38 + 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. 15 + 7a + -4a = 38 + 4a + -4a Combine like terms: 7a + -4a = 3a 15 + 3a = 38 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + 3a = 38 + 0 15 + 3a = 38 Add '-15' to each side of the equation. 15 + -15 + 3a = 38 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = 38 + -15 3a = 38 + -15 Combine like terms: 38 + -15 = 23 3a = 23 Divide each side by '3'. a = 7.666666667 Simplifying a = 7.666666667
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