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Simplifying 30 = 8 + 13 + c Combine like terms: 8 + 13 = 21 30 = 21 + c Solving 30 = 21 + 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. 30 + -1c = 21 + c + -1c Combine like terms: c + -1c = 0 30 + -1c = 21 + 0 30 + -1c = 21 Add '-30' to each side of the equation. 30 + -30 + -1c = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -1c = 21 + -30 -1c = 21 + -30 Combine like terms: 21 + -30 = -9 -1c = -9 Divide each side by '-1'. c = 9 Simplifying c = 9
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