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Simplifying 47 = 4k + -1 Reorder the terms: 47 = -1 + 4k Solving 47 = -1 + 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 + -4k = -1 + 4k + -4k Combine like terms: 4k + -4k = 0 47 + -4k = -1 + 0 47 + -4k = -1 Add '-47' to each side of the equation. 47 + -47 + -4k = -1 + -47 Combine like terms: 47 + -47 = 0 0 + -4k = -1 + -47 -4k = -1 + -47 Combine like terms: -1 + -47 = -48 -4k = -48 Divide each side by '-4'. k = 12 Simplifying k = 12
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