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Simplifying -17 = 8 + 5(k + 7) Reorder the terms: -17 = 8 + 5(7 + k) -17 = 8 + (7 * 5 + k * 5) -17 = 8 + (35 + 5k) Combine like terms: 8 + 35 = 43 -17 = 43 + 5k Solving -17 = 43 + 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. -17 + -5k = 43 + 5k + -5k Combine like terms: 5k + -5k = 0 -17 + -5k = 43 + 0 -17 + -5k = 43 Add '17' to each side of the equation. -17 + 17 + -5k = 43 + 17 Combine like terms: -17 + 17 = 0 0 + -5k = 43 + 17 -5k = 43 + 17 Combine like terms: 43 + 17 = 60 -5k = 60 Divide each side by '-5'. k = -12 Simplifying k = -12
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