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Simplifying 4(k + 3) = 5k Reorder the terms: 4(3 + k) = 5k (3 * 4 + k * 4) = 5k (12 + 4k) = 5k Solving 12 + 4k = 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 + 4k + -5k = 5k + -5k Combine like terms: 4k + -5k = -1k 12 + -1k = 5k + -5k Combine like terms: 5k + -5k = 0 12 + -1k = 0 Add '-12' to each side of the equation. 12 + -12 + -1k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 0 + -12 -1k = 0 + -12 Combine like terms: 0 + -12 = -12 -1k = -12 Divide each side by '-1'. k = 12 Simplifying k = 12
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