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Simplifying [6c + -30] = 12 Reorder the terms: [-30 + 6c] = 12 Remove brackets around [-30 + 6c] -30 + 6c = 12 Solving -30 + 6c = 12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6c = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 6c = 12 + 30 6c = 12 + 30 Combine like terms: 12 + 30 = 42 6c = 42 Divide each side by '6'. c = 7 Simplifying c = 7
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