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Simplifying 61 = 4k + 9 Reorder the terms: 61 = 9 + 4k Solving 61 = 9 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 61 + -4k = 9 + 4k + -4k Combine like terms: 4k + -4k = 0 61 + -4k = 9 + 0 61 + -4k = 9 Add '-61' to each side of the equation. 61 + -61 + -4k = 9 + -61 Combine like terms: 61 + -61 = 0 0 + -4k = 9 + -61 -4k = 9 + -61 Combine like terms: 9 + -61 = -52 -4k = -52 Divide each side by '-4'. k = 13 Simplifying k = 13
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