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Simplifying 4k + -7 = 13 + -1k Reorder the terms: -7 + 4k = 13 + -1k Solving -7 + 4k = 13 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -7 + 4k + k = 13 + -1k + k Combine like terms: 4k + k = 5k -7 + 5k = 13 + -1k + k Combine like terms: -1k + k = 0 -7 + 5k = 13 + 0 -7 + 5k = 13 Add '7' to each side of the equation. -7 + 7 + 5k = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 5k = 13 + 7 5k = 13 + 7 Combine like terms: 13 + 7 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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