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Simplifying 12c + -5 = 7c + 30 Reorder the terms: -5 + 12c = 7c + 30 Reorder the terms: -5 + 12c = 30 + 7c Solving -5 + 12c = 30 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -5 + 12c + -7c = 30 + 7c + -7c Combine like terms: 12c + -7c = 5c -5 + 5c = 30 + 7c + -7c Combine like terms: 7c + -7c = 0 -5 + 5c = 30 + 0 -5 + 5c = 30 Add '5' to each side of the equation. -5 + 5 + 5c = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 5c = 30 + 5 5c = 30 + 5 Combine like terms: 30 + 5 = 35 5c = 35 Divide each side by '5'. c = 7 Simplifying c = 7
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