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Simplifying 5c + -5 + -2c = 4c + 7 Reorder the terms: -5 + 5c + -2c = 4c + 7 Combine like terms: 5c + -2c = 3c -5 + 3c = 4c + 7 Reorder the terms: -5 + 3c = 7 + 4c Solving -5 + 3c = 7 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -5 + 3c + -4c = 7 + 4c + -4c Combine like terms: 3c + -4c = -1c -5 + -1c = 7 + 4c + -4c Combine like terms: 4c + -4c = 0 -5 + -1c = 7 + 0 -5 + -1c = 7 Add '5' to each side of the equation. -5 + 5 + -1c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1c = 7 + 5 -1c = 7 + 5 Combine like terms: 7 + 5 = 12 -1c = 12 Divide each side by '-1'. c = -12 Simplifying c = -12
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