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Simplifying -47 + 9k = 28 + 4k Solving -47 + 9k = 28 + 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. -47 + 9k + -4k = 28 + 4k + -4k Combine like terms: 9k + -4k = 5k -47 + 5k = 28 + 4k + -4k Combine like terms: 4k + -4k = 0 -47 + 5k = 28 + 0 -47 + 5k = 28 Add '47' to each side of the equation. -47 + 47 + 5k = 28 + 47 Combine like terms: -47 + 47 = 0 0 + 5k = 28 + 47 5k = 28 + 47 Combine like terms: 28 + 47 = 75 5k = 75 Divide each side by '5'. k = 15 Simplifying k = 15
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