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Simplifying -9c + 1 = -12c + 7 Reorder the terms: 1 + -9c = -12c + 7 Reorder the terms: 1 + -9c = 7 + -12c Solving 1 + -9c = 7 + -12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12c' to each side of the equation. 1 + -9c + 12c = 7 + -12c + 12c Combine like terms: -9c + 12c = 3c 1 + 3c = 7 + -12c + 12c Combine like terms: -12c + 12c = 0 1 + 3c = 7 + 0 1 + 3c = 7 Add '-1' to each side of the equation. 1 + -1 + 3c = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 7 + -1 3c = 7 + -1 Combine like terms: 7 + -1 = 6 3c = 6 Divide each side by '3'. c = 2 Simplifying c = 2
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