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Simplifying 8(5C + 7) = 296 Reorder the terms: 8(7 + 5C) = 296 (7 * 8 + 5C * 8) = 296 (56 + 40C) = 296 Solving 56 + 40C = 296 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 40C = 296 + -56 Combine like terms: 56 + -56 = 0 0 + 40C = 296 + -56 40C = 296 + -56 Combine like terms: 296 + -56 = 240 40C = 240 Divide each side by '40'. C = 6 Simplifying C = 6
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