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Simplifying 30 = 8 + 10 + c Combine like terms: 8 + 10 = 18 30 = 18 + c Solving 30 = 18 + 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 = 18 + c + -1c Combine like terms: c + -1c = 0 30 + -1c = 18 + 0 30 + -1c = 18 Add '-30' to each side of the equation. 30 + -30 + -1c = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -1c = 18 + -30 -1c = 18 + -30 Combine like terms: 18 + -30 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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