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Simplifying -254 = -10k + -2 + -8k Reorder the terms: -254 = -2 + -10k + -8k Combine like terms: -10k + -8k = -18k -254 = -2 + -18k Solving -254 = -2 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. -254 + 18k = -2 + -18k + 18k Combine like terms: -18k + 18k = 0 -254 + 18k = -2 + 0 -254 + 18k = -2 Add '254' to each side of the equation. -254 + 254 + 18k = -2 + 254 Combine like terms: -254 + 254 = 0 0 + 18k = -2 + 254 18k = -2 + 254 Combine like terms: -2 + 254 = 252 18k = 252 Divide each side by '18'. k = 14 Simplifying k = 14
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