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Simplifying 8(-5 + 7k) + -3k = -40 + 6k (-5 * 8 + 7k * 8) + -3k = -40 + 6k (-40 + 56k) + -3k = -40 + 6k Combine like terms: 56k + -3k = 53k -40 + 53k = -40 + 6k Add '40' to each side of the equation. -40 + 40 + 53k = -40 + 40 + 6k Combine like terms: -40 + 40 = 0 0 + 53k = -40 + 40 + 6k 53k = -40 + 40 + 6k Combine like terms: -40 + 40 = 0 53k = 0 + 6k 53k = 6k Solving 53k = 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. 53k + -6k = 6k + -6k Combine like terms: 53k + -6k = 47k 47k = 6k + -6k Combine like terms: 6k + -6k = 0 47k = 0 Divide each side by '47'. k = 0 Simplifying k = 0
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