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Simplifying 7c + -6 = 3c + 12 Reorder the terms: -6 + 7c = 3c + 12 Reorder the terms: -6 + 7c = 12 + 3c Solving -6 + 7c = 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. -6 + 7c + -3c = 12 + 3c + -3c Combine like terms: 7c + -3c = 4c -6 + 4c = 12 + 3c + -3c Combine like terms: 3c + -3c = 0 -6 + 4c = 12 + 0 -6 + 4c = 12 Add '6' to each side of the equation. -6 + 6 + 4c = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4c = 12 + 6 4c = 12 + 6 Combine like terms: 12 + 6 = 18 4c = 18 Divide each side by '4'. c = 4.5 Simplifying c = 4.5
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