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Simplifying -13 = k + 5 + -5k Reorder the terms: -13 = 5 + k + -5k Combine like terms: k + -5k = -4k -13 = 5 + -4k Solving -13 = 5 + -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. -13 + 4k = 5 + -4k + 4k Combine like terms: -4k + 4k = 0 -13 + 4k = 5 + 0 -13 + 4k = 5 Add '13' to each side of the equation. -13 + 13 + 4k = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 4k = 5 + 13 4k = 5 + 13 Combine like terms: 5 + 13 = 18 4k = 18 Divide each side by '4'. k = 4.5 Simplifying k = 4.5
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