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Simplifying 8 + -2k = 5k + 4(4k + 2) Reorder the terms: 8 + -2k = 5k + 4(2 + 4k) 8 + -2k = 5k + (2 * 4 + 4k * 4) 8 + -2k = 5k + (8 + 16k) Reorder the terms: 8 + -2k = 8 + 5k + 16k Combine like terms: 5k + 16k = 21k 8 + -2k = 8 + 21k Add '-8' to each side of the equation. 8 + -8 + -2k = 8 + -8 + 21k Combine like terms: 8 + -8 = 0 0 + -2k = 8 + -8 + 21k -2k = 8 + -8 + 21k Combine like terms: 8 + -8 = 0 -2k = 0 + 21k -2k = 21k Solving -2k = 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. -2k + -21k = 21k + -21k Combine like terms: -2k + -21k = -23k -23k = 21k + -21k Combine like terms: 21k + -21k = 0 -23k = 0 Divide each side by '-23'. k = 0 Simplifying k = 0
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