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Simplifying 3a + 5 = -2a + 15 Reorder the terms: 5 + 3a = -2a + 15 Reorder the terms: 5 + 3a = 15 + -2a Solving 5 + 3a = 15 + -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. 5 + 3a + 2a = 15 + -2a + 2a Combine like terms: 3a + 2a = 5a 5 + 5a = 15 + -2a + 2a Combine like terms: -2a + 2a = 0 5 + 5a = 15 + 0 5 + 5a = 15 Add '-5' to each side of the equation. 5 + -5 + 5a = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 5a = 15 + -5 5a = 15 + -5 Combine like terms: 15 + -5 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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