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Simplifying 9(c + -1) = 6(c + 2) Reorder the terms: 9(-1 + c) = 6(c + 2) (-1 * 9 + c * 9) = 6(c + 2) (-9 + 9c) = 6(c + 2) Reorder the terms: -9 + 9c = 6(2 + c) -9 + 9c = (2 * 6 + c * 6) -9 + 9c = (12 + 6c) Solving -9 + 9c = 12 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -9 + 9c + -6c = 12 + 6c + -6c Combine like terms: 9c + -6c = 3c -9 + 3c = 12 + 6c + -6c Combine like terms: 6c + -6c = 0 -9 + 3c = 12 + 0 -9 + 3c = 12 Add '9' to each side of the equation. -9 + 9 + 3c = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3c = 12 + 9 3c = 12 + 9 Combine like terms: 12 + 9 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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