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Simplifying 14k + 18 = 9(4k + -20) Reorder the terms: 18 + 14k = 9(4k + -20) Reorder the terms: 18 + 14k = 9(-20 + 4k) 18 + 14k = (-20 * 9 + 4k * 9) 18 + 14k = (-180 + 36k) Solving 18 + 14k = -180 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. 18 + 14k + -36k = -180 + 36k + -36k Combine like terms: 14k + -36k = -22k 18 + -22k = -180 + 36k + -36k Combine like terms: 36k + -36k = 0 18 + -22k = -180 + 0 18 + -22k = -180 Add '-18' to each side of the equation. 18 + -18 + -22k = -180 + -18 Combine like terms: 18 + -18 = 0 0 + -22k = -180 + -18 -22k = -180 + -18 Combine like terms: -180 + -18 = -198 -22k = -198 Divide each side by '-22'. k = 9 Simplifying k = 9
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