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Simplifying 6a + 112 = 2a + 83 Reorder the terms: 112 + 6a = 2a + 83 Reorder the terms: 112 + 6a = 83 + 2a Solving 112 + 6a = 83 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 112 + 6a + -2a = 83 + 2a + -2a Combine like terms: 6a + -2a = 4a 112 + 4a = 83 + 2a + -2a Combine like terms: 2a + -2a = 0 112 + 4a = 83 + 0 112 + 4a = 83 Add '-112' to each side of the equation. 112 + -112 + 4a = 83 + -112 Combine like terms: 112 + -112 = 0 0 + 4a = 83 + -112 4a = 83 + -112 Combine like terms: 83 + -112 = -29 4a = -29 Divide each side by '4'. a = -7.25 Simplifying a = -7.25
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