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Simplifying -5(k + -8) + 6k = 40 + 6k Reorder the terms: -5(-8 + k) + 6k = 40 + 6k (-8 * -5 + k * -5) + 6k = 40 + 6k (40 + -5k) + 6k = 40 + 6k Combine like terms: -5k + 6k = 1k 40 + 1k = 40 + 6k Add '-40' to each side of the equation. 40 + -40 + 1k = 40 + -40 + 6k Combine like terms: 40 + -40 = 0 0 + 1k = 40 + -40 + 6k 1k = 40 + -40 + 6k Combine like terms: 40 + -40 = 0 1k = 0 + 6k 1k = 6k Solving 1k = 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 1k + -6k = 6k + -6k Combine like terms: 1k + -6k = -5k -5k = 6k + -6k Combine like terms: 6k + -6k = 0 -5k = 0 Divide each side by '-5'. k = 0 Simplifying k = 0
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