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Simplifying 8 + -4k = 5(2 + k) + 7 8 + -4k = (2 * 5 + k * 5) + 7 8 + -4k = (10 + 5k) + 7 Reorder the terms: 8 + -4k = 10 + 7 + 5k Combine like terms: 10 + 7 = 17 8 + -4k = 17 + 5k Solving 8 + -4k = 17 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 8 + -4k + -5k = 17 + 5k + -5k Combine like terms: -4k + -5k = -9k 8 + -9k = 17 + 5k + -5k Combine like terms: 5k + -5k = 0 8 + -9k = 17 + 0 8 + -9k = 17 Add '-8' to each side of the equation. 8 + -8 + -9k = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -9k = 17 + -8 -9k = 17 + -8 Combine like terms: 17 + -8 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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