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Simplifying -7c + 5 + 5c = -3c + 10 Reorder the terms: 5 + -7c + 5c = -3c + 10 Combine like terms: -7c + 5c = -2c 5 + -2c = -3c + 10 Reorder the terms: 5 + -2c = 10 + -3c Solving 5 + -2c = 10 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 5 + -2c + 3c = 10 + -3c + 3c Combine like terms: -2c + 3c = 1c 5 + 1c = 10 + -3c + 3c Combine like terms: -3c + 3c = 0 5 + 1c = 10 + 0 5 + 1c = 10 Add '-5' to each side of the equation. 5 + -5 + 1c = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1c = 10 + -5 1c = 10 + -5 Combine like terms: 10 + -5 = 5 1c = 5 Divide each side by '1'. c = 5 Simplifying c = 5
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