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Simplifying 100 = 30 + 10 + 10c Combine like terms: 30 + 10 = 40 100 = 40 + 10c Solving 100 = 40 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 100 + -10c = 40 + 10c + -10c Combine like terms: 10c + -10c = 0 100 + -10c = 40 + 0 100 + -10c = 40 Add '-100' to each side of the equation. 100 + -100 + -10c = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -10c = 40 + -100 -10c = 40 + -100 Combine like terms: 40 + -100 = -60 -10c = -60 Divide each side by '-10'. c = 6 Simplifying c = 6
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