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Simplifying 30 = 9(8k + 6) Reorder the terms: 30 = 9(6 + 8k) 30 = (6 * 9 + 8k * 9) 30 = (54 + 72k) Solving 30 = 54 + 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 = 54 + 72k + -72k Combine like terms: 72k + -72k = 0 30 + -72k = 54 + 0 30 + -72k = 54 Add '-30' to each side of the equation. 30 + -30 + -72k = 54 + -30 Combine like terms: 30 + -30 = 0 0 + -72k = 54 + -30 -72k = 54 + -30 Combine like terms: 54 + -30 = 24 -72k = 24 Divide each side by '-72'. k = -0.3333333333 Simplifying k = -0.3333333333
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