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Simplifying 10c + 9 = 19 + 6c Reorder the terms: 9 + 10c = 19 + 6c Solving 9 + 10c = 19 + 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. 9 + 10c + -6c = 19 + 6c + -6c Combine like terms: 10c + -6c = 4c 9 + 4c = 19 + 6c + -6c Combine like terms: 6c + -6c = 0 9 + 4c = 19 + 0 9 + 4c = 19 Add '-9' to each side of the equation. 9 + -9 + 4c = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 4c = 19 + -9 4c = 19 + -9 Combine like terms: 19 + -9 = 10 4c = 10 Divide each side by '4'. c = 2.5 Simplifying c = 2.5
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