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Simplifying 5(-2k + -8) = -16 + -7k Reorder the terms: 5(-8 + -2k) = -16 + -7k (-8 * 5 + -2k * 5) = -16 + -7k (-40 + -10k) = -16 + -7k Solving -40 + -10k = -16 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -40 + -10k + 7k = -16 + -7k + 7k Combine like terms: -10k + 7k = -3k -40 + -3k = -16 + -7k + 7k Combine like terms: -7k + 7k = 0 -40 + -3k = -16 + 0 -40 + -3k = -16 Add '40' to each side of the equation. -40 + 40 + -3k = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -3k = -16 + 40 -3k = -16 + 40 Combine like terms: -16 + 40 = 24 -3k = 24 Divide each side by '-3'. k = -8 Simplifying k = -8
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