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Simplifying 47 = -8 + -5k Solving 47 = -8 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 47 + 5k = -8 + -5k + 5k Combine like terms: -5k + 5k = 0 47 + 5k = -8 + 0 47 + 5k = -8 Add '-47' to each side of the equation. 47 + -47 + 5k = -8 + -47 Combine like terms: 47 + -47 = 0 0 + 5k = -8 + -47 5k = -8 + -47 Combine like terms: -8 + -47 = -55 5k = -55 Divide each side by '5'. k = -11 Simplifying k = -11
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