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Simplifying -16k + 97 = 2k + -83 Reorder the terms: 97 + -16k = 2k + -83 Reorder the terms: 97 + -16k = -83 + 2k Solving 97 + -16k = -83 + 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. 97 + -16k + -2k = -83 + 2k + -2k Combine like terms: -16k + -2k = -18k 97 + -18k = -83 + 2k + -2k Combine like terms: 2k + -2k = 0 97 + -18k = -83 + 0 97 + -18k = -83 Add '-97' to each side of the equation. 97 + -97 + -18k = -83 + -97 Combine like terms: 97 + -97 = 0 0 + -18k = -83 + -97 -18k = -83 + -97 Combine like terms: -83 + -97 = -180 -18k = -180 Divide each side by '-18'. k = 10 Simplifying k = 10
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