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Simplifying -16w + 6k + 82 + -15 = 0 Reorder the terms: 82 + -15 + 6k + -16w = 0 Combine like terms: 82 + -15 = 67 67 + 6k + -16w = 0 Solving 67 + 6k + -16w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + 6k + -67 + -16w = 0 + -67 Reorder the terms: 67 + -67 + 6k + -16w = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 6k + -16w = 0 + -67 6k + -16w = 0 + -67 Combine like terms: 0 + -67 = -67 6k + -16w = -67 Add '16w' to each side of the equation. 6k + -16w + 16w = -67 + 16w Combine like terms: -16w + 16w = 0 6k + 0 = -67 + 16w 6k = -67 + 16w Divide each side by '6'. k = -11.16666667 + 2.666666667w Simplifying k = -11.16666667 + 2.666666667w
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