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Simplifying C + 2c + -100 = c + 50 + 2c + -100 + -20 Reorder the terms: -100 + C + 2c = c + 50 + 2c + -100 + -20 Reorder the terms: -100 + C + 2c = 50 + -100 + -20 + c + 2c Combine like terms: 50 + -100 = -50 -100 + C + 2c = -50 + -20 + c + 2c Combine like terms: -50 + -20 = -70 -100 + C + 2c = -70 + c + 2c Combine like terms: c + 2c = 3c -100 + C + 2c = -70 + 3c Solving -100 + C + 2c = -70 + 3c Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '100' to each side of the equation. -100 + C + 100 + 2c = -70 + 100 + 3c Reorder the terms: -100 + 100 + C + 2c = -70 + 100 + 3c Combine like terms: -100 + 100 = 0 0 + C + 2c = -70 + 100 + 3c C + 2c = -70 + 100 + 3c Combine like terms: -70 + 100 = 30 C + 2c = 30 + 3c Add '-2c' to each side of the equation. C + 2c + -2c = 30 + 3c + -2c Combine like terms: 2c + -2c = 0 C + 0 = 30 + 3c + -2c C = 30 + 3c + -2c Combine like terms: 3c + -2c = 1c C = 30 + 1c Simplifying C = 30 + 1c
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