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Simplifying -25k + -44 = k + -824 Reorder the terms: -44 + -25k = k + -824 Reorder the terms: -44 + -25k = -824 + k Solving -44 + -25k = -824 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -44 + -25k + -1k = -824 + k + -1k Combine like terms: -25k + -1k = -26k -44 + -26k = -824 + k + -1k Combine like terms: k + -1k = 0 -44 + -26k = -824 + 0 -44 + -26k = -824 Add '44' to each side of the equation. -44 + 44 + -26k = -824 + 44 Combine like terms: -44 + 44 = 0 0 + -26k = -824 + 44 -26k = -824 + 44 Combine like terms: -824 + 44 = -780 -26k = -780 Divide each side by '-26'. k = 30 Simplifying k = 30
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