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Simplifying 13 = k + 13 + 15k Reorder the terms: 13 = 13 + k + 15k Combine like terms: k + 15k = 16k 13 = 13 + 16k Add '-13' to each side of the equation. 13 + -13 = 13 + -13 + 16k Combine like terms: 13 + -13 = 0 0 = 13 + -13 + 16k Combine like terms: 13 + -13 = 0 0 = 0 + 16k 0 = 16k Solving 0 = 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 0 + -16k = 16k + -16k Remove the zero: -16k = 16k + -16k Combine like terms: 16k + -16k = 0 -16k = 0 Divide each side by '-16'. k = 0 Simplifying k = 0
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