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Simplifying 49 = 21 + 4k Solving 49 = 21 + 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. 49 + -4k = 21 + 4k + -4k Combine like terms: 4k + -4k = 0 49 + -4k = 21 + 0 49 + -4k = 21 Add '-49' to each side of the equation. 49 + -49 + -4k = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -4k = 21 + -49 -4k = 21 + -49 Combine like terms: 21 + -49 = -28 -4k = -28 Divide each side by '-4'. k = 7 Simplifying k = 7
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