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Simplifying -1c + 7 + 3c = -2c + 23 Reorder the terms: 7 + -1c + 3c = -2c + 23 Combine like terms: -1c + 3c = 2c 7 + 2c = -2c + 23 Reorder the terms: 7 + 2c = 23 + -2c Solving 7 + 2c = 23 + -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. 7 + 2c + 2c = 23 + -2c + 2c Combine like terms: 2c + 2c = 4c 7 + 4c = 23 + -2c + 2c Combine like terms: -2c + 2c = 0 7 + 4c = 23 + 0 7 + 4c = 23 Add '-7' to each side of the equation. 7 + -7 + 4c = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 4c = 23 + -7 4c = 23 + -7 Combine like terms: 23 + -7 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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