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Simplifying 8 + -9(3 + -1k) = 14k + -11 8 + (3 * -9 + -1k * -9) = 14k + -11 8 + (-27 + 9k) = 14k + -11 Combine like terms: 8 + -27 = -19 -19 + 9k = 14k + -11 Reorder the terms: -19 + 9k = -11 + 14k Solving -19 + 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. -19 + 9k + -14k = -11 + 14k + -14k Combine like terms: 9k + -14k = -5k -19 + -5k = -11 + 14k + -14k Combine like terms: 14k + -14k = 0 -19 + -5k = -11 + 0 -19 + -5k = -11 Add '19' to each side of the equation. -19 + 19 + -5k = -11 + 19 Combine like terms: -19 + 19 = 0 0 + -5k = -11 + 19 -5k = -11 + 19 Combine like terms: -11 + 19 = 8 -5k = 8 Divide each side by '-5'. k = -1.6 Simplifying k = -1.6
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