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Simplifying k + 3 + -5k + -3 = 3k + -115k + -3 Reorder the terms: 3 + -3 + k + -5k = 3k + -115k + -3 Combine like terms: 3 + -3 = 0 0 + k + -5k = 3k + -115k + -3 k + -5k = 3k + -115k + -3 Combine like terms: k + -5k = -4k -4k = 3k + -115k + -3 Reorder the terms: -4k = -3 + 3k + -115k Combine like terms: 3k + -115k = -112k -4k = -3 + -112k Solving -4k = -3 + -112k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '112k' to each side of the equation. -4k + 112k = -3 + -112k + 112k Combine like terms: -4k + 112k = 108k 108k = -3 + -112k + 112k Combine like terms: -112k + 112k = 0 108k = -3 + 0 108k = -3 Divide each side by '108'. k = -0.02777777778 Simplifying k = -0.02777777778
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