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Simplifying -1c + 5 + 5c = -3c + 12 Reorder the terms: 5 + -1c + 5c = -3c + 12 Combine like terms: -1c + 5c = 4c 5 + 4c = -3c + 12 Reorder the terms: 5 + 4c = 12 + -3c Solving 5 + 4c = 12 + -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 + 4c + 3c = 12 + -3c + 3c Combine like terms: 4c + 3c = 7c 5 + 7c = 12 + -3c + 3c Combine like terms: -3c + 3c = 0 5 + 7c = 12 + 0 5 + 7c = 12 Add '-5' to each side of the equation. 5 + -5 + 7c = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7c = 12 + -5 7c = 12 + -5 Combine like terms: 12 + -5 = 7 7c = 7 Divide each side by '7'. c = 1 Simplifying c = 1
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