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Simplifying 5a + 10 = 3a + 50 Reorder the terms: 10 + 5a = 3a + 50 Reorder the terms: 10 + 5a = 50 + 3a Solving 10 + 5a = 50 + 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. 10 + 5a + -3a = 50 + 3a + -3a Combine like terms: 5a + -3a = 2a 10 + 2a = 50 + 3a + -3a Combine like terms: 3a + -3a = 0 10 + 2a = 50 + 0 10 + 2a = 50 Add '-10' to each side of the equation. 10 + -10 + 2a = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 50 + -10 2a = 50 + -10 Combine like terms: 50 + -10 = 40 2a = 40 Divide each side by '2'. a = 20 Simplifying a = 20
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