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Simplifying -206 + 94k = -44(k + -80) Reorder the terms: -206 + 94k = -44(-80 + k) -206 + 94k = (-80 * -44 + k * -44) -206 + 94k = (3520 + -44k) Solving -206 + 94k = 3520 + -44k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '44k' to each side of the equation. -206 + 94k + 44k = 3520 + -44k + 44k Combine like terms: 94k + 44k = 138k -206 + 138k = 3520 + -44k + 44k Combine like terms: -44k + 44k = 0 -206 + 138k = 3520 + 0 -206 + 138k = 3520 Add '206' to each side of the equation. -206 + 206 + 138k = 3520 + 206 Combine like terms: -206 + 206 = 0 0 + 138k = 3520 + 206 138k = 3520 + 206 Combine like terms: 3520 + 206 = 3726 138k = 3726 Divide each side by '138'. k = 27 Simplifying k = 27
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