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Simplifying 5k + 7 = k + 4 Reorder the terms: 7 + 5k = k + 4 Reorder the terms: 7 + 5k = 4 + k Solving 7 + 5k = 4 + 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. 7 + 5k + -1k = 4 + k + -1k Combine like terms: 5k + -1k = 4k 7 + 4k = 4 + k + -1k Combine like terms: k + -1k = 0 7 + 4k = 4 + 0 7 + 4k = 4 Add '-7' to each side of the equation. 7 + -7 + 4k = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 4k = 4 + -7 4k = 4 + -7 Combine like terms: 4 + -7 = -3 4k = -3 Divide each side by '4'. k = -0.75 Simplifying k = -0.75
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