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Simplifying 30 = 8(9k + -5) Reorder the terms: 30 = 8(-5 + 9k) 30 = (-5 * 8 + 9k * 8) 30 = (-40 + 72k) Solving 30 = -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. 30 + -72k = -40 + 72k + -72k Combine like terms: 72k + -72k = 0 30 + -72k = -40 + 0 30 + -72k = -40 Add '-30' to each side of the equation. 30 + -30 + -72k = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -72k = -40 + -30 -72k = -40 + -30 Combine like terms: -40 + -30 = -70 -72k = -70 Divide each side by '-72'. k = 0.9722222222 Simplifying k = 0.9722222222
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