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Simplifying 27 = 3x + -3(6 + -2c) 27 = 3x + (6 * -3 + -2c * -3) 27 = 3x + (-18 + 6c) Reorder the terms: 27 = -18 + 6c + 3x Solving 27 = -18 + 6c + 3x 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. 27 + -6c = -18 + 6c + -6c + 3x Combine like terms: 6c + -6c = 0 27 + -6c = -18 + 0 + 3x 27 + -6c = -18 + 3x Add '-27' to each side of the equation. 27 + -27 + -6c = -18 + -27 + 3x Combine like terms: 27 + -27 = 0 0 + -6c = -18 + -27 + 3x -6c = -18 + -27 + 3x Combine like terms: -18 + -27 = -45 -6c = -45 + 3x Divide each side by '-6'. c = 7.5 + -0.5x Simplifying c = 7.5 + -0.5x
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