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Simplifying 5c + 8 = 6c + 7 Reorder the terms: 8 + 5c = 6c + 7 Reorder the terms: 8 + 5c = 7 + 6c Solving 8 + 5c = 7 + 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. 8 + 5c + -6c = 7 + 6c + -6c Combine like terms: 5c + -6c = -1c 8 + -1c = 7 + 6c + -6c Combine like terms: 6c + -6c = 0 8 + -1c = 7 + 0 8 + -1c = 7 Add '-8' to each side of the equation. 8 + -8 + -1c = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = 7 + -8 -1c = 7 + -8 Combine like terms: 7 + -8 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1
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