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Simplifying 269 = -8(6k + 5) Reorder the terms: 269 = -8(5 + 6k) 269 = (5 * -8 + 6k * -8) 269 = (-40 + -48k) Solving 269 = -40 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. 269 + 48k = -40 + -48k + 48k Combine like terms: -48k + 48k = 0 269 + 48k = -40 + 0 269 + 48k = -40 Add '-269' to each side of the equation. 269 + -269 + 48k = -40 + -269 Combine like terms: 269 + -269 = 0 0 + 48k = -40 + -269 48k = -40 + -269 Combine like terms: -40 + -269 = -309 48k = -309 Divide each side by '48'. k = -6.4375 Simplifying k = -6.4375
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