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Simplifying (c + 5) * 8 + (3c) * 8 = 1000 Reorder the terms: (5 + c) * 8 + (3c) * 8 = 1000 Reorder the terms for easier multiplication: 8(5 + c) + (3c) * 8 = 1000 (5 * 8 + c * 8) + (3c) * 8 = 1000 (40 + 8c) + (3c) * 8 = 1000 Remove parenthesis around (3c) 40 + 8c + 3c * 8 = 1000 Reorder the terms for easier multiplication: 40 + 8c + 3 * 8c = 1000 Multiply 3 * 8 40 + 8c + 24c = 1000 Combine like terms: 8c + 24c = 32c 40 + 32c = 1000 Solving 40 + 32c = 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 + 32c = 1000 + -40 Combine like terms: 40 + -40 = 0 0 + 32c = 1000 + -40 32c = 1000 + -40 Combine like terms: 1000 + -40 = 960 32c = 960 Divide each side by '32'. c = 30 Simplifying c = 30
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