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Simplifying 75 + 2k = 100 + -2k Solving 75 + 2k = 100 + -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. 75 + 2k + 2k = 100 + -2k + 2k Combine like terms: 2k + 2k = 4k 75 + 4k = 100 + -2k + 2k Combine like terms: -2k + 2k = 0 75 + 4k = 100 + 0 75 + 4k = 100 Add '-75' to each side of the equation. 75 + -75 + 4k = 100 + -75 Combine like terms: 75 + -75 = 0 0 + 4k = 100 + -75 4k = 100 + -75 Combine like terms: 100 + -75 = 25 4k = 25 Divide each side by '4'. k = 6.25 Simplifying k = 6.25
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