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Simplifying 6x(c + 6) = 0 Reorder the terms: 6x(6 + c) = 0 (6 * 6x + c * 6x) = 0 Reorder the terms: (6cx + 36x) = 0 (6cx + 36x) = 0 Solving 6cx + 36x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36x' to each side of the equation. 6cx + 36x + -36x = 0 + -36x Combine like terms: 36x + -36x = 0 6cx + 0 = 0 + -36x 6cx = 0 + -36x Remove the zero: 6cx = -36x Divide each side by '6x'. c = -6 Simplifying c = -6
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