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Simplifying 180 + -1k = 10 + 2(90 + -1k) 180 + -1k = 10 + (90 * 2 + -1k * 2) 180 + -1k = 10 + (180 + -2k) Combine like terms: 10 + 180 = 190 180 + -1k = 190 + -2k Solving 180 + -1k = 190 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 180 + -1k + 2k = 190 + -2k + 2k Combine like terms: -1k + 2k = 1k 180 + 1k = 190 + -2k + 2k Combine like terms: -2k + 2k = 0 180 + 1k = 190 + 0 180 + 1k = 190 Add '-180' to each side of the equation. 180 + -180 + 1k = 190 + -180 Combine like terms: 180 + -180 = 0 0 + 1k = 190 + -180 1k = 190 + -180 Combine like terms: 190 + -180 = 10 1k = 10 Divide each side by '1'. k = 10 Simplifying k = 10
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