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Simplifying 11k + 44 = -14(9 + -2k) Reorder the terms: 44 + 11k = -14(9 + -2k) 44 + 11k = (9 * -14 + -2k * -14) 44 + 11k = (-126 + 28k) Solving 44 + 11k = -126 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. 44 + 11k + -28k = -126 + 28k + -28k Combine like terms: 11k + -28k = -17k 44 + -17k = -126 + 28k + -28k Combine like terms: 28k + -28k = 0 44 + -17k = -126 + 0 44 + -17k = -126 Add '-44' to each side of the equation. 44 + -44 + -17k = -126 + -44 Combine like terms: 44 + -44 = 0 0 + -17k = -126 + -44 -17k = -126 + -44 Combine like terms: -126 + -44 = -170 -17k = -170 Divide each side by '-17'. k = 10 Simplifying k = 10
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