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Simplifying 40 + 6k = 5(8 + 3k) + 3k 40 + 6k = (8 * 5 + 3k * 5) + 3k 40 + 6k = (40 + 15k) + 3k Combine like terms: 15k + 3k = 18k 40 + 6k = 40 + 18k Add '-40' to each side of the equation. 40 + -40 + 6k = 40 + -40 + 18k Combine like terms: 40 + -40 = 0 0 + 6k = 40 + -40 + 18k 6k = 40 + -40 + 18k Combine like terms: 40 + -40 = 0 6k = 0 + 18k 6k = 18k Solving 6k = 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 6k + -18k = 18k + -18k Combine like terms: 6k + -18k = -12k -12k = 18k + -18k Combine like terms: 18k + -18k = 0 -12k = 0 Divide each side by '-12'. k = 0 Simplifying k = 0
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