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Simplifying 13c + 55 = 44c + -100 Reorder the terms: 55 + 13c = 44c + -100 Reorder the terms: 55 + 13c = -100 + 44c Solving 55 + 13c = -100 + 44c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-44c' to each side of the equation. 55 + 13c + -44c = -100 + 44c + -44c Combine like terms: 13c + -44c = -31c 55 + -31c = -100 + 44c + -44c Combine like terms: 44c + -44c = 0 55 + -31c = -100 + 0 55 + -31c = -100 Add '-55' to each side of the equation. 55 + -55 + -31c = -100 + -55 Combine like terms: 55 + -55 = 0 0 + -31c = -100 + -55 -31c = -100 + -55 Combine like terms: -100 + -55 = -155 -31c = -155 Divide each side by '-31'. c = 5 Simplifying c = 5
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