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Simplifying -100 = -5(3k + 8) Reorder the terms: -100 = -5(8 + 3k) -100 = (8 * -5 + 3k * -5) -100 = (-40 + -15k) Solving -100 = -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. -100 + 15k = -40 + -15k + 15k Combine like terms: -15k + 15k = 0 -100 + 15k = -40 + 0 -100 + 15k = -40 Add '100' to each side of the equation. -100 + 100 + 15k = -40 + 100 Combine like terms: -100 + 100 = 0 0 + 15k = -40 + 100 15k = -40 + 100 Combine like terms: -40 + 100 = 60 15k = 60 Divide each side by '15'. k = 4 Simplifying k = 4
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