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Simplifying 4c + 1 = -1(5 + 2c) Reorder the terms: 1 + 4c = -1(5 + 2c) 1 + 4c = (5 * -1 + 2c * -1) 1 + 4c = (-5 + -2c) Solving 1 + 4c = -5 + -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 = -5 + -2c + 2c Combine like terms: 4c + 2c = 6c 1 + 6c = -5 + -2c + 2c Combine like terms: -2c + 2c = 0 1 + 6c = -5 + 0 1 + 6c = -5 Add '-1' to each side of the equation. 1 + -1 + 6c = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 6c = -5 + -1 6c = -5 + -1 Combine like terms: -5 + -1 = -6 6c = -6 Divide each side by '6'. c = -1 Simplifying c = -1
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