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Simplifying 7 + -4k = k + 7 Reorder the terms: 7 + -4k = 7 + k Add '-7' to each side of the equation. 7 + -7 + -4k = 7 + -7 + k Combine like terms: 7 + -7 = 0 0 + -4k = 7 + -7 + k -4k = 7 + -7 + k Combine like terms: 7 + -7 = 0 -4k = 0 + k -4k = k Solving -4k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -4k + -1k = k + -1k Combine like terms: -4k + -1k = -5k -5k = k + -1k Combine like terms: k + -1k = 0 -5k = 0 Divide each side by '-5'. k = 0 Simplifying k = 0
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