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Simplifying 3a + 5 = a + 33 Reorder the terms: 5 + 3a = a + 33 Reorder the terms: 5 + 3a = 33 + a Solving 5 + 3a = 33 + 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 + 3a + -1a = 33 + a + -1a Combine like terms: 3a + -1a = 2a 5 + 2a = 33 + a + -1a Combine like terms: a + -1a = 0 5 + 2a = 33 + 0 5 + 2a = 33 Add '-5' to each side of the equation. 5 + -5 + 2a = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 33 + -5 2a = 33 + -5 Combine like terms: 33 + -5 = 28 2a = 28 Divide each side by '2'. a = 14 Simplifying a = 14
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