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Simplifying 3c + -3(6 + -2x) = 27 3c + (6 * -3 + -2x * -3) = 27 3c + (-18 + 6x) = 27 Reorder the terms: -18 + 3c + 6x = 27 Solving -18 + 3c + 6x = 27 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 3c + 18 + 6x = 27 + 18 Reorder the terms: -18 + 18 + 3c + 6x = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 3c + 6x = 27 + 18 3c + 6x = 27 + 18 Combine like terms: 27 + 18 = 45 3c + 6x = 45 Add '-6x' to each side of the equation. 3c + 6x + -6x = 45 + -6x Combine like terms: 6x + -6x = 0 3c + 0 = 45 + -6x 3c = 45 + -6x Divide each side by '3'. c = 15 + -2x Simplifying c = 15 + -2x
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