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Simplifying 97 = 93 + -5k + 2(k + -22) Reorder the terms: 97 = 93 + -5k + 2(-22 + k) 97 = 93 + -5k + (-22 * 2 + k * 2) 97 = 93 + -5k + (-44 + 2k) Reorder the terms: 97 = 93 + -44 + -5k + 2k Combine like terms: 93 + -44 = 49 97 = 49 + -5k + 2k Combine like terms: -5k + 2k = -3k 97 = 49 + -3k Solving 97 = 49 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 97 + 3k = 49 + -3k + 3k Combine like terms: -3k + 3k = 0 97 + 3k = 49 + 0 97 + 3k = 49 Add '-97' to each side of the equation. 97 + -97 + 3k = 49 + -97 Combine like terms: 97 + -97 = 0 0 + 3k = 49 + -97 3k = 49 + -97 Combine like terms: 49 + -97 = -48 3k = -48 Divide each side by '3'. k = -16 Simplifying k = -16
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