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Simplifying 25 + 6k = -1 + -5(k + 8) Reorder the terms: 25 + 6k = -1 + -5(8 + k) 25 + 6k = -1 + (8 * -5 + k * -5) 25 + 6k = -1 + (-40 + -5k) Combine like terms: -1 + -40 = -41 25 + 6k = -41 + -5k Solving 25 + 6k = -41 + -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. 25 + 6k + 5k = -41 + -5k + 5k Combine like terms: 6k + 5k = 11k 25 + 11k = -41 + -5k + 5k Combine like terms: -5k + 5k = 0 25 + 11k = -41 + 0 25 + 11k = -41 Add '-25' to each side of the equation. 25 + -25 + 11k = -41 + -25 Combine like terms: 25 + -25 = 0 0 + 11k = -41 + -25 11k = -41 + -25 Combine like terms: -41 + -25 = -66 11k = -66 Divide each side by '11'. k = -6 Simplifying k = -6
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