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Simplifying 22k + -5k + -13k + -1 = 43 Reorder the terms: -1 + 22k + -5k + -13k = 43 Combine like terms: 22k + -5k = 17k -1 + 17k + -13k = 43 Combine like terms: 17k + -13k = 4k -1 + 4k = 43 Solving -1 + 4k = 43 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 + 4k = 43 + 1 Combine like terms: -1 + 1 = 0 0 + 4k = 43 + 1 4k = 43 + 1 Combine like terms: 43 + 1 = 44 4k = 44 Divide each side by '4'. k = 11 Simplifying k = 11
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