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Simplifying 7a + 5 = 3a + 33 Reorder the terms: 5 + 7a = 3a + 33 Reorder the terms: 5 + 7a = 33 + 3a Solving 5 + 7a = 33 + 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. 5 + 7a + -3a = 33 + 3a + -3a Combine like terms: 7a + -3a = 4a 5 + 4a = 33 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + 4a = 33 + 0 5 + 4a = 33 Add '-5' to each side of the equation. 5 + -5 + 4a = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 4a = 33 + -5 4a = 33 + -5 Combine like terms: 33 + -5 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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