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Simplifying 90 + 3k = k + 10 Reorder the terms: 90 + 3k = 10 + k Solving 90 + 3k = 10 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 90 + 3k + -1k = 10 + k + -1k Combine like terms: 3k + -1k = 2k 90 + 2k = 10 + k + -1k Combine like terms: k + -1k = 0 90 + 2k = 10 + 0 90 + 2k = 10 Add '-90' to each side of the equation. 90 + -90 + 2k = 10 + -90 Combine like terms: 90 + -90 = 0 0 + 2k = 10 + -90 2k = 10 + -90 Combine like terms: 10 + -90 = -80 2k = -80 Divide each side by '2'. k = -40 Simplifying k = -40
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