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Simplifying 5[c + 3] + 6 = 61 Reorder the terms: 5[3 + c] + 6 = 61 [3 * 5 + c * 5] + 6 = 61 [15 + 5c] + 6 = 61 Reorder the terms: 15 + 6 + 5c = 61 Combine like terms: 15 + 6 = 21 21 + 5c = 61 Solving 21 + 5c = 61 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5c = 61 + -21 Combine like terms: 21 + -21 = 0 0 + 5c = 61 + -21 5c = 61 + -21 Combine like terms: 61 + -21 = 40 5c = 40 Divide each side by '5'. c = 8 Simplifying c = 8
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