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Simplifying -25 + -1k = -8(k + -3) + -7 Reorder the terms: -25 + -1k = -8(-3 + k) + -7 -25 + -1k = (-3 * -8 + k * -8) + -7 -25 + -1k = (24 + -8k) + -7 Reorder the terms: -25 + -1k = 24 + -7 + -8k Combine like terms: 24 + -7 = 17 -25 + -1k = 17 + -8k Solving -25 + -1k = 17 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -25 + -1k + 8k = 17 + -8k + 8k Combine like terms: -1k + 8k = 7k -25 + 7k = 17 + -8k + 8k Combine like terms: -8k + 8k = 0 -25 + 7k = 17 + 0 -25 + 7k = 17 Add '25' to each side of the equation. -25 + 25 + 7k = 17 + 25 Combine like terms: -25 + 25 = 0 0 + 7k = 17 + 25 7k = 17 + 25 Combine like terms: 17 + 25 = 42 7k = 42 Divide each side by '7'. k = 6 Simplifying k = 6
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