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Simplifying 9c + -74 = 10c + -50 Reorder the terms: -74 + 9c = 10c + -50 Reorder the terms: -74 + 9c = -50 + 10c Solving -74 + 9c = -50 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -74 + 9c + -10c = -50 + 10c + -10c Combine like terms: 9c + -10c = -1c -74 + -1c = -50 + 10c + -10c Combine like terms: 10c + -10c = 0 -74 + -1c = -50 + 0 -74 + -1c = -50 Add '74' to each side of the equation. -74 + 74 + -1c = -50 + 74 Combine like terms: -74 + 74 = 0 0 + -1c = -50 + 74 -1c = -50 + 74 Combine like terms: -50 + 74 = 24 -1c = 24 Divide each side by '-1'. c = -24 Simplifying c = -24
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