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Simplifying 3(k + 4) = 5k Reorder the terms: 3(4 + k) = 5k (4 * 3 + k * 3) = 5k (12 + 3k) = 5k Solving 12 + 3k = 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. 12 + 3k + -5k = 5k + -5k Combine like terms: 3k + -5k = -2k 12 + -2k = 5k + -5k Combine like terms: 5k + -5k = 0 12 + -2k = 0 Add '-12' to each side of the equation. 12 + -12 + -2k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2k = 0 + -12 -2k = 0 + -12 Combine like terms: 0 + -12 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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