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Simplifying -253 = -10k + -2 + -8k Reorder the terms: -253 = -2 + -10k + -8k Combine like terms: -10k + -8k = -18k -253 = -2 + -18k Solving -253 = -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. -253 + 18k = -2 + -18k + 18k Combine like terms: -18k + 18k = 0 -253 + 18k = -2 + 0 -253 + 18k = -2 Add '253' to each side of the equation. -253 + 253 + 18k = -2 + 253 Combine like terms: -253 + 253 = 0 0 + 18k = -2 + 253 18k = -2 + 253 Combine like terms: -2 + 253 = 251 18k = 251 Divide each side by '18'. k = 13.94444444 Simplifying k = 13.94444444
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