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Simplifying -26 + -3k = 8(6 + 10k) + 9 -26 + -3k = (6 * 8 + 10k * 8) + 9 -26 + -3k = (48 + 80k) + 9 Reorder the terms: -26 + -3k = 48 + 9 + 80k Combine like terms: 48 + 9 = 57 -26 + -3k = 57 + 80k Solving -26 + -3k = 57 + 80k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-80k' to each side of the equation. -26 + -3k + -80k = 57 + 80k + -80k Combine like terms: -3k + -80k = -83k -26 + -83k = 57 + 80k + -80k Combine like terms: 80k + -80k = 0 -26 + -83k = 57 + 0 -26 + -83k = 57 Add '26' to each side of the equation. -26 + 26 + -83k = 57 + 26 Combine like terms: -26 + 26 = 0 0 + -83k = 57 + 26 -83k = 57 + 26 Combine like terms: 57 + 26 = 83 -83k = 83 Divide each side by '-83'. k = -1 Simplifying k = -1
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