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Simplifying 1 + -4k + -5k = 10 Combine like terms: -4k + -5k = -9k 1 + -9k = 10 Solving 1 + -9k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9k = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -9k = 10 + -1 -9k = 10 + -1 Combine like terms: 10 + -1 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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