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Simplifying c + -6 = 30 + 2c Reorder the terms: -6 + c = 30 + 2c Solving -6 + c = 30 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -6 + c + -2c = 30 + 2c + -2c Combine like terms: c + -2c = -1c -6 + -1c = 30 + 2c + -2c Combine like terms: 2c + -2c = 0 -6 + -1c = 30 + 0 -6 + -1c = 30 Add '6' to each side of the equation. -6 + 6 + -1c = 30 + 6 Combine like terms: -6 + 6 = 0 0 + -1c = 30 + 6 -1c = 30 + 6 Combine like terms: 30 + 6 = 36 -1c = 36 Divide each side by '-1'. c = -36 Simplifying c = -36
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