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Simplifying 3a + 8 = -2a + 33 Reorder the terms: 8 + 3a = -2a + 33 Reorder the terms: 8 + 3a = 33 + -2a Solving 8 + 3a = 33 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 8 + 3a + 2a = 33 + -2a + 2a Combine like terms: 3a + 2a = 5a 8 + 5a = 33 + -2a + 2a Combine like terms: -2a + 2a = 0 8 + 5a = 33 + 0 8 + 5a = 33 Add '-8' to each side of the equation. 8 + -8 + 5a = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 5a = 33 + -8 5a = 33 + -8 Combine like terms: 33 + -8 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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