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