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Simplifying 13c + 80 = 49c + -100 Reorder the terms: 80 + 13c = 49c + -100 Reorder the terms: 80 + 13c = -100 + 49c Solving 80 + 13c = -100 + 49c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-49c' to each side of the equation. 80 + 13c + -49c = -100 + 49c + -49c Combine like terms: 13c + -49c = -36c 80 + -36c = -100 + 49c + -49c Combine like terms: 49c + -49c = 0 80 + -36c = -100 + 0 80 + -36c = -100 Add '-80' to each side of the equation. 80 + -80 + -36c = -100 + -80 Combine like terms: 80 + -80 = 0 0 + -36c = -100 + -80 -36c = -100 + -80 Combine like terms: -100 + -80 = -180 -36c = -180 Divide each side by '-36'. c = 5 Simplifying c = 5
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