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Simplifying 31(k + -975) = 186 Reorder the terms: 31(-975 + k) = 186 (-975 * 31 + k * 31) = 186 (-30225 + 31k) = 186 Solving -30225 + 31k = 186 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30225' to each side of the equation. -30225 + 30225 + 31k = 186 + 30225 Combine like terms: -30225 + 30225 = 0 0 + 31k = 186 + 30225 31k = 186 + 30225 Combine like terms: 186 + 30225 = 30411 31k = 30411 Divide each side by '31'. k = 981 Simplifying k = 981
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