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Simplifying 15k + 12 = -72 + k Reorder the terms: 12 + 15k = -72 + k Solving 12 + 15k = -72 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 12 + 15k + -1k = -72 + k + -1k Combine like terms: 15k + -1k = 14k 12 + 14k = -72 + k + -1k Combine like terms: k + -1k = 0 12 + 14k = -72 + 0 12 + 14k = -72 Add '-12' to each side of the equation. 12 + -12 + 14k = -72 + -12 Combine like terms: 12 + -12 = 0 0 + 14k = -72 + -12 14k = -72 + -12 Combine like terms: -72 + -12 = -84 14k = -84 Divide each side by '14'. k = -6 Simplifying k = -6
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