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Simplifying 4c + 1 = -9 + 2c Reorder the terms: 1 + 4c = -9 + 2c Solving 1 + 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. 1 + 4c + -2c = -9 + 2c + -2c Combine like terms: 4c + -2c = 2c 1 + 2c = -9 + 2c + -2c Combine like terms: 2c + -2c = 0 1 + 2c = -9 + 0 1 + 2c = -9 Add '-1' to each side of the equation. 1 + -1 + 2c = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = -9 + -1 2c = -9 + -1 Combine like terms: -9 + -1 = -10 2c = -10 Divide each side by '2'. c = -5 Simplifying c = -5
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