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Simplifying 7a + 2 = 3a + 50 Reorder the terms: 2 + 7a = 3a + 50 Reorder the terms: 2 + 7a = 50 + 3a Solving 2 + 7a = 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. 2 + 7a + -3a = 50 + 3a + -3a Combine like terms: 7a + -3a = 4a 2 + 4a = 50 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + 4a = 50 + 0 2 + 4a = 50 Add '-2' to each side of the equation. 2 + -2 + 4a = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 4a = 50 + -2 4a = 50 + -2 Combine like terms: 50 + -2 = 48 4a = 48 Divide each side by '4'. a = 12 Simplifying a = 12
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