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Simplifying c + 10 = 6 + 5c Reorder the terms: 10 + c = 6 + 5c Solving 10 + c = 6 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 10 + c + -5c = 6 + 5c + -5c Combine like terms: c + -5c = -4c 10 + -4c = 6 + 5c + -5c Combine like terms: 5c + -5c = 0 10 + -4c = 6 + 0 10 + -4c = 6 Add '-10' to each side of the equation. 10 + -10 + -4c = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -4c = 6 + -10 -4c = 6 + -10 Combine like terms: 6 + -10 = -4 -4c = -4 Divide each side by '-4'. c = 1 Simplifying c = 1
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