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Simplifying 20 + 8(c + 7) = 100 Reorder the terms: 20 + 8(7 + c) = 100 20 + (7 * 8 + c * 8) = 100 20 + (56 + 8c) = 100 Combine like terms: 20 + 56 = 76 76 + 8c = 100 Solving 76 + 8c = 100 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 8c = 100 + -76 Combine like terms: 76 + -76 = 0 0 + 8c = 100 + -76 8c = 100 + -76 Combine like terms: 100 + -76 = 24 8c = 24 Divide each side by '8'. c = 3 Simplifying c = 3
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