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Simplifying -27 + 8 = -12 + c + 20 Combine like terms: -27 + 8 = -19 -19 = -12 + c + 20 Reorder the terms: -19 = -12 + 20 + c Combine like terms: -12 + 20 = 8 -19 = 8 + c Solving -19 = 8 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -19 + -1c = 8 + c + -1c Combine like terms: c + -1c = 0 -19 + -1c = 8 + 0 -19 + -1c = 8 Add '19' to each side of the equation. -19 + 19 + -1c = 8 + 19 Combine like terms: -19 + 19 = 0 0 + -1c = 8 + 19 -1c = 8 + 19 Combine like terms: 8 + 19 = 27 -1c = 27 Divide each side by '-1'. c = -27 Simplifying c = -27
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