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Simplifying 8 + -9(k + -3) = 14k + -11 Reorder the terms: 8 + -9(-3 + k) = 14k + -11 8 + (-3 * -9 + k * -9) = 14k + -11 8 + (27 + -9k) = 14k + -11 Combine like terms: 8 + 27 = 35 35 + -9k = 14k + -11 Reorder the terms: 35 + -9k = -11 + 14k Solving 35 + -9k = -11 + 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. 35 + -9k + -14k = -11 + 14k + -14k Combine like terms: -9k + -14k = -23k 35 + -23k = -11 + 14k + -14k Combine like terms: 14k + -14k = 0 35 + -23k = -11 + 0 35 + -23k = -11 Add '-35' to each side of the equation. 35 + -35 + -23k = -11 + -35 Combine like terms: 35 + -35 = 0 0 + -23k = -11 + -35 -23k = -11 + -35 Combine like terms: -11 + -35 = -46 -23k = -46 Divide each side by '-23'. k = 2 Simplifying k = 2
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