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Simplifying 5c + -1[8c + -1(6 + -3c)] = 0 5c + -1[8c + (6 * -1 + -3c * -1)] = 0 5c + -1[8c + (-6 + 3c)] = 0 Reorder the terms: 5c + -1[-6 + 8c + 3c] = 0 Combine like terms: 8c + 3c = 11c 5c + -1[-6 + 11c] = 0 5c + [-6 * -1 + 11c * -1] = 0 5c + [6 + -11c] = 0 Reorder the terms: 6 + 5c + -11c = 0 Combine like terms: 5c + -11c = -6c 6 + -6c = 0 Solving 6 + -6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6c = 0 + -6 -6c = 0 + -6 Combine like terms: 0 + -6 = -6 -6c = -6 Divide each side by '-6'. c = 1 Simplifying c = 1
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