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Simplifying 37 + 2c = 100 + -5c Solving 37 + 2c = 100 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 37 + 2c + 5c = 100 + -5c + 5c Combine like terms: 2c + 5c = 7c 37 + 7c = 100 + -5c + 5c Combine like terms: -5c + 5c = 0 37 + 7c = 100 + 0 37 + 7c = 100 Add '-37' to each side of the equation. 37 + -37 + 7c = 100 + -37 Combine like terms: 37 + -37 = 0 0 + 7c = 100 + -37 7c = 100 + -37 Combine like terms: 100 + -37 = 63 7c = 63 Divide each side by '7'. c = 9 Simplifying c = 9
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