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Simplifying 2 + 3a = -5a + 10 Reorder the terms: 2 + 3a = 10 + -5a Solving 2 + 3a = 10 + -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. 2 + 3a + 5a = 10 + -5a + 5a Combine like terms: 3a + 5a = 8a 2 + 8a = 10 + -5a + 5a Combine like terms: -5a + 5a = 0 2 + 8a = 10 + 0 2 + 8a = 10 Add '-2' to each side of the equation. 2 + -2 + 8a = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8a = 10 + -2 8a = 10 + -2 Combine like terms: 10 + -2 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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