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Simplifying 5a + -50 = 3a + 10 Reorder the terms: -50 + 5a = 3a + 10 Reorder the terms: -50 + 5a = 10 + 3a Solving -50 + 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. -50 + 5a + -3a = 10 + 3a + -3a Combine like terms: 5a + -3a = 2a -50 + 2a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 -50 + 2a = 10 + 0 -50 + 2a = 10 Add '50' to each side of the equation. -50 + 50 + 2a = 10 + 50 Combine like terms: -50 + 50 = 0 0 + 2a = 10 + 50 2a = 10 + 50 Combine like terms: 10 + 50 = 60 2a = 60 Divide each side by '2'. a = 30 Simplifying a = 30
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