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Simplifying 3(7c + 1) + -39 = 16c + 4 Reorder the terms: 3(1 + 7c) + -39 = 16c + 4 (1 * 3 + 7c * 3) + -39 = 16c + 4 (3 + 21c) + -39 = 16c + 4 Reorder the terms: 3 + -39 + 21c = 16c + 4 Combine like terms: 3 + -39 = -36 -36 + 21c = 16c + 4 Reorder the terms: -36 + 21c = 4 + 16c Solving -36 + 21c = 4 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. -36 + 21c + -16c = 4 + 16c + -16c Combine like terms: 21c + -16c = 5c -36 + 5c = 4 + 16c + -16c Combine like terms: 16c + -16c = 0 -36 + 5c = 4 + 0 -36 + 5c = 4 Add '36' to each side of the equation. -36 + 36 + 5c = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 5c = 4 + 36 5c = 4 + 36 Combine like terms: 4 + 36 = 40 5c = 40 Divide each side by '5'. c = 8 Simplifying c = 8
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