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Simplifying 8c + 84 = 6c + 10 Reorder the terms: 84 + 8c = 6c + 10 Reorder the terms: 84 + 8c = 10 + 6c Solving 84 + 8c = 10 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 84 + 8c + -6c = 10 + 6c + -6c Combine like terms: 8c + -6c = 2c 84 + 2c = 10 + 6c + -6c Combine like terms: 6c + -6c = 0 84 + 2c = 10 + 0 84 + 2c = 10 Add '-84' to each side of the equation. 84 + -84 + 2c = 10 + -84 Combine like terms: 84 + -84 = 0 0 + 2c = 10 + -84 2c = 10 + -84 Combine like terms: 10 + -84 = -74 2c = -74 Divide each side by '2'. c = -37 Simplifying c = -37
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