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Simplifying 6(c + -7) + 12 = 30 Reorder the terms: 6(-7 + c) + 12 = 30 (-7 * 6 + c * 6) + 12 = 30 (-42 + 6c) + 12 = 30 Reorder the terms: -42 + 12 + 6c = 30 Combine like terms: -42 + 12 = -30 -30 + 6c = 30 Solving -30 + 6c = 30 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 = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 6c = 30 + 30 6c = 30 + 30 Combine like terms: 30 + 30 = 60 6c = 60 Divide each side by '6'. c = 10 Simplifying c = 10
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