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Simplifying 14 + 6 = -8(5k + 5) + -7k Combine like terms: 14 + 6 = 20 20 = -8(5k + 5) + -7k Reorder the terms: 20 = -8(5 + 5k) + -7k 20 = (5 * -8 + 5k * -8) + -7k 20 = (-40 + -40k) + -7k Combine like terms: -40k + -7k = -47k 20 = -40 + -47k Solving 20 = -40 + -47k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '47k' to each side of the equation. 20 + 47k = -40 + -47k + 47k Combine like terms: -47k + 47k = 0 20 + 47k = -40 + 0 20 + 47k = -40 Add '-20' to each side of the equation. 20 + -20 + 47k = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 47k = -40 + -20 47k = -40 + -20 Combine like terms: -40 + -20 = -60 47k = -60 Divide each side by '47'. k = -1.276595745 Simplifying k = -1.276595745
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