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Simplifying 4(22 + -1k) + 17 = 89 (22 * 4 + -1k * 4) + 17 = 89 (88 + -4k) + 17 = 89 Reorder the terms: 88 + 17 + -4k = 89 Combine like terms: 88 + 17 = 105 105 + -4k = 89 Solving 105 + -4k = 89 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -4k = 89 + -105 Combine like terms: 105 + -105 = 0 0 + -4k = 89 + -105 -4k = 89 + -105 Combine like terms: 89 + -105 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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