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