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Simplifying 45 + 4k = 61 + 2k Solving 45 + 4k = 61 + 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. 45 + 4k + -2k = 61 + 2k + -2k Combine like terms: 4k + -2k = 2k 45 + 2k = 61 + 2k + -2k Combine like terms: 2k + -2k = 0 45 + 2k = 61 + 0 45 + 2k = 61 Add '-45' to each side of the equation. 45 + -45 + 2k = 61 + -45 Combine like terms: 45 + -45 = 0 0 + 2k = 61 + -45 2k = 61 + -45 Combine like terms: 61 + -45 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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