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Simplifying 8 + 7 + -9k = 8k + -2 Combine like terms: 8 + 7 = 15 15 + -9k = 8k + -2 Reorder the terms: 15 + -9k = -2 + 8k Solving 15 + -9k = -2 + 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. 15 + -9k + -8k = -2 + 8k + -8k Combine like terms: -9k + -8k = -17k 15 + -17k = -2 + 8k + -8k Combine like terms: 8k + -8k = 0 15 + -17k = -2 + 0 15 + -17k = -2 Add '-15' to each side of the equation. 15 + -15 + -17k = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -17k = -2 + -15 -17k = -2 + -15 Combine like terms: -2 + -15 = -17 -17k = -17 Divide each side by '-17'. k = 1 Simplifying k = 1
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