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Simplifying 47 + 5k = 9(k + 3) Reorder the terms: 47 + 5k = 9(3 + k) 47 + 5k = (3 * 9 + k * 9) 47 + 5k = (27 + 9k) Solving 47 + 5k = 27 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 47 + 5k + -9k = 27 + 9k + -9k Combine like terms: 5k + -9k = -4k 47 + -4k = 27 + 9k + -9k Combine like terms: 9k + -9k = 0 47 + -4k = 27 + 0 47 + -4k = 27 Add '-47' to each side of the equation. 47 + -47 + -4k = 27 + -47 Combine like terms: 47 + -47 = 0 0 + -4k = 27 + -47 -4k = 27 + -47 Combine like terms: 27 + -47 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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