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Simplifying -5k = 3(k + -9) Reorder the terms: -5k = 3(-9 + k) -5k = (-9 * 3 + k * 3) -5k = (-27 + 3k) Solving -5k = -27 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -5k + -3k = -27 + 3k + -3k Combine like terms: -5k + -3k = -8k -8k = -27 + 3k + -3k Combine like terms: 3k + -3k = 0 -8k = -27 + 0 -8k = -27 Divide each side by '-8'. k = 3.375 Simplifying k = 3.375
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