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Simplifying 5 + -6(-5k + 6) = -31 + 5k Reorder the terms: 5 + -6(6 + -5k) = -31 + 5k 5 + (6 * -6 + -5k * -6) = -31 + 5k 5 + (-36 + 30k) = -31 + 5k Combine like terms: 5 + -36 = -31 -31 + 30k = -31 + 5k Add '31' to each side of the equation. -31 + 31 + 30k = -31 + 31 + 5k Combine like terms: -31 + 31 = 0 0 + 30k = -31 + 31 + 5k 30k = -31 + 31 + 5k Combine like terms: -31 + 31 = 0 30k = 0 + 5k 30k = 5k Solving 30k = 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. 30k + -5k = 5k + -5k Combine like terms: 30k + -5k = 25k 25k = 5k + -5k Combine like terms: 5k + -5k = 0 25k = 0 Divide each side by '25'. k = 0 Simplifying k = 0
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