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Simplifying 5 + k + -5k = 4k + 6 Combine like terms: k + -5k = -4k 5 + -4k = 4k + 6 Reorder the terms: 5 + -4k = 6 + 4k Solving 5 + -4k = 6 + 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. 5 + -4k + -4k = 6 + 4k + -4k Combine like terms: -4k + -4k = -8k 5 + -8k = 6 + 4k + -4k Combine like terms: 4k + -4k = 0 5 + -8k = 6 + 0 5 + -8k = 6 Add '-5' to each side of the equation. 5 + -5 + -8k = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -8k = 6 + -5 -8k = 6 + -5 Combine like terms: 6 + -5 = 1 -8k = 1 Divide each side by '-8'. k = -0.125 Simplifying k = -0.125
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