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Simplifying 7a + 15 = 5a + 33 Reorder the terms: 15 + 7a = 5a + 33 Reorder the terms: 15 + 7a = 33 + 5a Solving 15 + 7a = 33 + 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. 15 + 7a + -5a = 33 + 5a + -5a Combine like terms: 7a + -5a = 2a 15 + 2a = 33 + 5a + -5a Combine like terms: 5a + -5a = 0 15 + 2a = 33 + 0 15 + 2a = 33 Add '-15' to each side of the equation. 15 + -15 + 2a = 33 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = 33 + -15 2a = 33 + -15 Combine like terms: 33 + -15 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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