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Simplifying 6c + -83 = c + 7 Reorder the terms: -83 + 6c = c + 7 Reorder the terms: -83 + 6c = 7 + c Solving -83 + 6c = 7 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -83 + 6c + -1c = 7 + c + -1c Combine like terms: 6c + -1c = 5c -83 + 5c = 7 + c + -1c Combine like terms: c + -1c = 0 -83 + 5c = 7 + 0 -83 + 5c = 7 Add '83' to each side of the equation. -83 + 83 + 5c = 7 + 83 Combine like terms: -83 + 83 = 0 0 + 5c = 7 + 83 5c = 7 + 83 Combine like terms: 7 + 83 = 90 5c = 90 Divide each side by '5'. c = 18 Simplifying c = 18
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