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Simplifying 3k + 5(k + 4) = 32 + 5k Reorder the terms: 3k + 5(4 + k) = 32 + 5k 3k + (4 * 5 + k * 5) = 32 + 5k 3k + (20 + 5k) = 32 + 5k Reorder the terms: 20 + 3k + 5k = 32 + 5k Combine like terms: 3k + 5k = 8k 20 + 8k = 32 + 5k Solving 20 + 8k = 32 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 20 + 8k + -5k = 32 + 5k + -5k Combine like terms: 8k + -5k = 3k 20 + 3k = 32 + 5k + -5k Combine like terms: 5k + -5k = 0 20 + 3k = 32 + 0 20 + 3k = 32 Add '-20' to each side of the equation. 20 + -20 + 3k = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 3k = 32 + -20 3k = 32 + -20 Combine like terms: 32 + -20 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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