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Simplifying 4 + 9c = 84 + c Solving 4 + 9c = 84 + 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. 4 + 9c + -1c = 84 + c + -1c Combine like terms: 9c + -1c = 8c 4 + 8c = 84 + c + -1c Combine like terms: c + -1c = 0 4 + 8c = 84 + 0 4 + 8c = 84 Add '-4' to each side of the equation. 4 + -4 + 8c = 84 + -4 Combine like terms: 4 + -4 = 0 0 + 8c = 84 + -4 8c = 84 + -4 Combine like terms: 84 + -4 = 80 8c = 80 Divide each side by '8'. c = 10 Simplifying c = 10
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