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Simplifying -25 + -6k = 5(1 + -2k) + 2 -25 + -6k = (1 * 5 + -2k * 5) + 2 -25 + -6k = (5 + -10k) + 2 Reorder the terms: -25 + -6k = 5 + 2 + -10k Combine like terms: 5 + 2 = 7 -25 + -6k = 7 + -10k Solving -25 + -6k = 7 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -25 + -6k + 10k = 7 + -10k + 10k Combine like terms: -6k + 10k = 4k -25 + 4k = 7 + -10k + 10k Combine like terms: -10k + 10k = 0 -25 + 4k = 7 + 0 -25 + 4k = 7 Add '25' to each side of the equation. -25 + 25 + 4k = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 4k = 7 + 25 4k = 7 + 25 Combine like terms: 7 + 25 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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