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Simplifying 8[c + 3c + (5 + c)] = 1000 Remove parenthesis around (5 + c) 8[c + 3c + 5 + c] = 1000 Reorder the terms: 8[5 + c + 3c + c] = 1000 Combine like terms: c + 3c = 4c 8[5 + 4c + c] = 1000 Combine like terms: 4c + c = 5c 8[5 + 5c] = 1000 [5 * 8 + 5c * 8] = 1000 [40 + 40c] = 1000 Solving 40 + 40c = 1000 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 40c = 1000 + -40 Combine like terms: 40 + -40 = 0 0 + 40c = 1000 + -40 40c = 1000 + -40 Combine like terms: 1000 + -40 = 960 40c = 960 Divide each side by '40'. c = 24 Simplifying c = 24
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