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Simplifying 27 = 7 + -3(2c + 5) + -1c Reorder the terms: 27 = 7 + -3(5 + 2c) + -1c 27 = 7 + (5 * -3 + 2c * -3) + -1c 27 = 7 + (-15 + -6c) + -1c Combine like terms: 7 + -15 = -8 27 = -8 + -6c + -1c Combine like terms: -6c + -1c = -7c 27 = -8 + -7c Solving 27 = -8 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 27 + 7c = -8 + -7c + 7c Combine like terms: -7c + 7c = 0 27 + 7c = -8 + 0 27 + 7c = -8 Add '-27' to each side of the equation. 27 + -27 + 7c = -8 + -27 Combine like terms: 27 + -27 = 0 0 + 7c = -8 + -27 7c = -8 + -27 Combine like terms: -8 + -27 = -35 7c = -35 Divide each side by '7'. c = -5 Simplifying c = -5
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