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Simplifying 35 + -2c + 3 = 2c + 12 + c Reorder the terms: 35 + 3 + -2c = 2c + 12 + c Combine like terms: 35 + 3 = 38 38 + -2c = 2c + 12 + c Reorder the terms: 38 + -2c = 12 + 2c + c Combine like terms: 2c + c = 3c 38 + -2c = 12 + 3c Solving 38 + -2c = 12 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 38 + -2c + -3c = 12 + 3c + -3c Combine like terms: -2c + -3c = -5c 38 + -5c = 12 + 3c + -3c Combine like terms: 3c + -3c = 0 38 + -5c = 12 + 0 38 + -5c = 12 Add '-38' to each side of the equation. 38 + -38 + -5c = 12 + -38 Combine like terms: 38 + -38 = 0 0 + -5c = 12 + -38 -5c = 12 + -38 Combine like terms: 12 + -38 = -26 -5c = -26 Divide each side by '-5'. c = 5.2 Simplifying c = 5.2
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