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Simplifying -6k + -5(4k + -8) = -50k + -1(-16) Reorder the terms: -6k + -5(-8 + 4k) = -50k + -1(-16) -6k + (-8 * -5 + 4k * -5) = -50k + -1(-16) -6k + (40 + -20k) = -50k + -1(-16) Reorder the terms: 40 + -6k + -20k = -50k + -1(-16) Combine like terms: -6k + -20k = -26k 40 + -26k = -50k + -1(-16) Multiply -1 * -16 40 + -26k = -50k + 16 Reorder the terms: 40 + -26k = 16 + -50k Solving 40 + -26k = 16 + -50k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50k' to each side of the equation. 40 + -26k + 50k = 16 + -50k + 50k Combine like terms: -26k + 50k = 24k 40 + 24k = 16 + -50k + 50k Combine like terms: -50k + 50k = 0 40 + 24k = 16 + 0 40 + 24k = 16 Add '-40' to each side of the equation. 40 + -40 + 24k = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 24k = 16 + -40 24k = 16 + -40 Combine like terms: 16 + -40 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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