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Simplifying 14 = 4k + -31 Reorder the terms: 14 = -31 + 4k Solving 14 = -31 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 14 + -4k = -31 + 4k + -4k Combine like terms: 4k + -4k = 0 14 + -4k = -31 + 0 14 + -4k = -31 Add '-14' to each side of the equation. 14 + -14 + -4k = -31 + -14 Combine like terms: 14 + -14 = 0 0 + -4k = -31 + -14 -4k = -31 + -14 Combine like terms: -31 + -14 = -45 -4k = -45 Divide each side by '-4'. k = 11.25 Simplifying k = 11.25
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