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Simplifying 10k + 11 = 14k + -9 Reorder the terms: 11 + 10k = 14k + -9 Reorder the terms: 11 + 10k = -9 + 14k Solving 11 + 10k = -9 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 11 + 10k + -14k = -9 + 14k + -14k Combine like terms: 10k + -14k = -4k 11 + -4k = -9 + 14k + -14k Combine like terms: 14k + -14k = 0 11 + -4k = -9 + 0 11 + -4k = -9 Add '-11' to each side of the equation. 11 + -11 + -4k = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -4k = -9 + -11 -4k = -9 + -11 Combine like terms: -9 + -11 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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