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Simplifying 7c + -78 = 5c + -40 Reorder the terms: -78 + 7c = 5c + -40 Reorder the terms: -78 + 7c = -40 + 5c Solving -78 + 7c = -40 + 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. -78 + 7c + -5c = -40 + 5c + -5c Combine like terms: 7c + -5c = 2c -78 + 2c = -40 + 5c + -5c Combine like terms: 5c + -5c = 0 -78 + 2c = -40 + 0 -78 + 2c = -40 Add '78' to each side of the equation. -78 + 78 + 2c = -40 + 78 Combine like terms: -78 + 78 = 0 0 + 2c = -40 + 78 2c = -40 + 78 Combine like terms: -40 + 78 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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