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Simplifying 5a + 2 = 3a + 10 Reorder the terms: 2 + 5a = 3a + 10 Reorder the terms: 2 + 5a = 10 + 3a Solving 2 + 5a = 10 + 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. 2 + 5a + -3a = 10 + 3a + -3a Combine like terms: 5a + -3a = 2a 2 + 2a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + 2a = 10 + 0 2 + 2a = 10 Add '-2' to each side of the equation. 2 + -2 + 2a = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = 10 + -2 2a = 10 + -2 Combine like terms: 10 + -2 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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