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Simplifying -21 = -8(9k + 5) Reorder the terms: -21 = -8(5 + 9k) -21 = (5 * -8 + 9k * -8) -21 = (-40 + -72k) Solving -21 = -40 + -72k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '72k' to each side of the equation. -21 + 72k = -40 + -72k + 72k Combine like terms: -72k + 72k = 0 -21 + 72k = -40 + 0 -21 + 72k = -40 Add '21' to each side of the equation. -21 + 21 + 72k = -40 + 21 Combine like terms: -21 + 21 = 0 0 + 72k = -40 + 21 72k = -40 + 21 Combine like terms: -40 + 21 = -19 72k = -19 Divide each side by '72'. k = -0.2638888889 Simplifying k = -0.2638888889
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