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Simplifying c + 6[c + 6(c + 6)] = 0 Reorder the terms: c + 6[c + 6(6 + c)] = 0 c + 6[c + (6 * 6 + c * 6)] = 0 c + 6[c + (36 + 6c)] = 0 Reorder the terms: c + 6[36 + c + 6c] = 0 Combine like terms: c + 6c = 7c c + 6[36 + 7c] = 0 c + [36 * 6 + 7c * 6] = 0 c + [216 + 42c] = 0 Reorder the terms: 216 + c + 42c = 0 Combine like terms: c + 42c = 43c 216 + 43c = 0 Solving 216 + 43c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + 43c = 0 + -216 Combine like terms: 216 + -216 = 0 0 + 43c = 0 + -216 43c = 0 + -216 Combine like terms: 0 + -216 = -216 43c = -216 Divide each side by '43'. c = -5.023255814 Simplifying c = -5.023255814
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