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Simplifying 16 + -8k = -5(8 + 3k) 16 + -8k = (8 * -5 + 3k * -5) 16 + -8k = (-40 + -15k) Solving 16 + -8k = -40 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 16 + -8k + 15k = -40 + -15k + 15k Combine like terms: -8k + 15k = 7k 16 + 7k = -40 + -15k + 15k Combine like terms: -15k + 15k = 0 16 + 7k = -40 + 0 16 + 7k = -40 Add '-16' to each side of the equation. 16 + -16 + 7k = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 7k = -40 + -16 7k = -40 + -16 Combine like terms: -40 + -16 = -56 7k = -56 Divide each side by '7'. k = -8 Simplifying k = -8
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