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Simplifying 24c + -3(c + 2) + -12 = 12c + -6 Reorder the terms: 24c + -3(2 + c) + -12 = 12c + -6 24c + (2 * -3 + c * -3) + -12 = 12c + -6 24c + (-6 + -3c) + -12 = 12c + -6 Reorder the terms: -6 + -12 + 24c + -3c = 12c + -6 Combine like terms: -6 + -12 = -18 -18 + 24c + -3c = 12c + -6 Combine like terms: 24c + -3c = 21c -18 + 21c = 12c + -6 Reorder the terms: -18 + 21c = -6 + 12c Solving -18 + 21c = -6 + 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. -18 + 21c + -12c = -6 + 12c + -12c Combine like terms: 21c + -12c = 9c -18 + 9c = -6 + 12c + -12c Combine like terms: 12c + -12c = 0 -18 + 9c = -6 + 0 -18 + 9c = -6 Add '18' to each side of the equation. -18 + 18 + 9c = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 9c = -6 + 18 9c = -6 + 18 Combine like terms: -6 + 18 = 12 9c = 12 Divide each side by '9'. c = 1.333333333 Simplifying c = 1.333333333
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