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Simplifying 4k + -1 = 82k Reorder the terms: -1 + 4k = 82k Solving -1 + 4k = 82k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-82k' to each side of the equation. -1 + 4k + -82k = 82k + -82k Combine like terms: 4k + -82k = -78k -1 + -78k = 82k + -82k Combine like terms: 82k + -82k = 0 -1 + -78k = 0 Add '1' to each side of the equation. -1 + 1 + -78k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -78k = 0 + 1 -78k = 0 + 1 Combine like terms: 0 + 1 = 1 -78k = 1 Divide each side by '-78'. k = -0.01282051282 Simplifying k = -0.01282051282
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