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Simplifying 34k + 92 = 61k + -70 Reorder the terms: 92 + 34k = 61k + -70 Reorder the terms: 92 + 34k = -70 + 61k Solving 92 + 34k = -70 + 61k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-61k' to each side of the equation. 92 + 34k + -61k = -70 + 61k + -61k Combine like terms: 34k + -61k = -27k 92 + -27k = -70 + 61k + -61k Combine like terms: 61k + -61k = 0 92 + -27k = -70 + 0 92 + -27k = -70 Add '-92' to each side of the equation. 92 + -92 + -27k = -70 + -92 Combine like terms: 92 + -92 = 0 0 + -27k = -70 + -92 -27k = -70 + -92 Combine like terms: -70 + -92 = -162 -27k = -162 Divide each side by '-27'. k = 6 Simplifying k = 6
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