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Simplifying 83 = 5a + -2 Reorder the terms: 83 = -2 + 5a Solving 83 = -2 + 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. 83 + -5a = -2 + 5a + -5a Combine like terms: 5a + -5a = 0 83 + -5a = -2 + 0 83 + -5a = -2 Add '-83' to each side of the equation. 83 + -83 + -5a = -2 + -83 Combine like terms: 83 + -83 = 0 0 + -5a = -2 + -83 -5a = -2 + -83 Combine like terms: -2 + -83 = -85 -5a = -85 Divide each side by '-5'. a = 17 Simplifying a = 17
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