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Simplifying 27 + -11k + -7(k + -14) = 0 Reorder the terms: 27 + -11k + -7(-14 + k) = 0 27 + -11k + (-14 * -7 + k * -7) = 0 27 + -11k + (98 + -7k) = 0 Reorder the terms: 27 + 98 + -11k + -7k = 0 Combine like terms: 27 + 98 = 125 125 + -11k + -7k = 0 Combine like terms: -11k + -7k = -18k 125 + -18k = 0 Solving 125 + -18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -18k = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -18k = 0 + -125 -18k = 0 + -125 Combine like terms: 0 + -125 = -125 -18k = -125 Divide each side by '-18'. k = 6.944444444 Simplifying k = 6.944444444
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