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Simplifying 2c + 42 = c + 9 Reorder the terms: 42 + 2c = c + 9 Reorder the terms: 42 + 2c = 9 + c Solving 42 + 2c = 9 + 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. 42 + 2c + -1c = 9 + c + -1c Combine like terms: 2c + -1c = 1c 42 + 1c = 9 + c + -1c Combine like terms: c + -1c = 0 42 + 1c = 9 + 0 42 + 1c = 9 Add '-42' to each side of the equation. 42 + -42 + 1c = 9 + -42 Combine like terms: 42 + -42 = 0 0 + 1c = 9 + -42 1c = 9 + -42 Combine like terms: 9 + -42 = -33 1c = -33 Divide each side by '1'. c = -33 Simplifying c = -33
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