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Simplifying 6c + -12 = -2 + 9(c + 2) Reorder the terms: -12 + 6c = -2 + 9(c + 2) Reorder the terms: -12 + 6c = -2 + 9(2 + c) -12 + 6c = -2 + (2 * 9 + c * 9) -12 + 6c = -2 + (18 + 9c) Combine like terms: -2 + 18 = 16 -12 + 6c = 16 + 9c Solving -12 + 6c = 16 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -12 + 6c + -9c = 16 + 9c + -9c Combine like terms: 6c + -9c = -3c -12 + -3c = 16 + 9c + -9c Combine like terms: 9c + -9c = 0 -12 + -3c = 16 + 0 -12 + -3c = 16 Add '12' to each side of the equation. -12 + 12 + -3c = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -3c = 16 + 12 -3c = 16 + 12 Combine like terms: 16 + 12 = 28 -3c = 28 Divide each side by '-3'. c = -9.333333333 Simplifying c = -9.333333333
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