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Simplifying -1k + -2 = -6 + -14k Reorder the terms: -2 + -1k = -6 + -14k Solving -2 + -1k = -6 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -2 + -1k + 14k = -6 + -14k + 14k Combine like terms: -1k + 14k = 13k -2 + 13k = -6 + -14k + 14k Combine like terms: -14k + 14k = 0 -2 + 13k = -6 + 0 -2 + 13k = -6 Add '2' to each side of the equation. -2 + 2 + 13k = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 13k = -6 + 2 13k = -6 + 2 Combine like terms: -6 + 2 = -4 13k = -4 Divide each side by '13'. k = -0.3076923077 Simplifying k = -0.3076923077
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