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Simplifying 27 = k + 15 + -18 + -16 + 12 Reorder the terms: 27 = 15 + -18 + -16 + 12 + k Combine like terms: 15 + -18 = -3 27 = -3 + -16 + 12 + k Combine like terms: -3 + -16 = -19 27 = -19 + 12 + k Combine like terms: -19 + 12 = -7 27 = -7 + k Solving 27 = -7 + 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. 27 + -1k = -7 + k + -1k Combine like terms: k + -1k = 0 27 + -1k = -7 + 0 27 + -1k = -7 Add '-27' to each side of the equation. 27 + -27 + -1k = -7 + -27 Combine like terms: 27 + -27 = 0 0 + -1k = -7 + -27 -1k = -7 + -27 Combine like terms: -7 + -27 = -34 -1k = -34 Divide each side by '-1'. k = 34 Simplifying k = 34
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