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Simplifying 5 + 4[c + -5(c + -5)] = 0 Reorder the terms: 5 + 4[c + -5(-5 + c)] = 0 5 + 4[c + (-5 * -5 + c * -5)] = 0 5 + 4[c + (25 + -5c)] = 0 Reorder the terms: 5 + 4[25 + c + -5c] = 0 Combine like terms: c + -5c = -4c 5 + 4[25 + -4c] = 0 5 + [25 * 4 + -4c * 4] = 0 5 + [100 + -16c] = 0 Combine like terms: 5 + 100 = 105 105 + -16c = 0 Solving 105 + -16c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -16c = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -16c = 0 + -105 -16c = 0 + -105 Combine like terms: 0 + -105 = -105 -16c = -105 Divide each side by '-16'. c = 6.5625 Simplifying c = 6.5625
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