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Simplifying 4c + 16 + 3 = 2c + 9 Reorder the terms: 16 + 3 + 4c = 2c + 9 Combine like terms: 16 + 3 = 19 19 + 4c = 2c + 9 Reorder the terms: 19 + 4c = 9 + 2c Solving 19 + 4c = 9 + 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. 19 + 4c + -2c = 9 + 2c + -2c Combine like terms: 4c + -2c = 2c 19 + 2c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 19 + 2c = 9 + 0 19 + 2c = 9 Add '-19' to each side of the equation. 19 + -19 + 2c = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 2c = 9 + -19 2c = 9 + -19 Combine like terms: 9 + -19 = -10 2c = -10 Divide each side by '2'. c = -5 Simplifying c = -5
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