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Simplifying -7c + 3 + 5c = 2 + 3c + 8 Reorder the terms: 3 + -7c + 5c = 2 + 3c + 8 Combine like terms: -7c + 5c = -2c 3 + -2c = 2 + 3c + 8 Reorder the terms: 3 + -2c = 2 + 8 + 3c Combine like terms: 2 + 8 = 10 3 + -2c = 10 + 3c Solving 3 + -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. 3 + -2c + -3c = 10 + 3c + -3c Combine like terms: -2c + -3c = -5c 3 + -5c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 3 + -5c = 10 + 0 3 + -5c = 10 Add '-3' to each side of the equation. 3 + -3 + -5c = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 10 + -3 -5c = 10 + -3 Combine like terms: 10 + -3 = 7 -5c = 7 Divide each side by '-5'. c = -1.4 Simplifying c = -1.4
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