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Simplifying 20 = 2k + 6(8 + -5k) 20 = 2k + (8 * 6 + -5k * 6) 20 = 2k + (48 + -30k) Reorder the terms: 20 = 48 + 2k + -30k Combine like terms: 2k + -30k = -28k 20 = 48 + -28k Solving 20 = 48 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. 20 + 28k = 48 + -28k + 28k Combine like terms: -28k + 28k = 0 20 + 28k = 48 + 0 20 + 28k = 48 Add '-20' to each side of the equation. 20 + -20 + 28k = 48 + -20 Combine like terms: 20 + -20 = 0 0 + 28k = 48 + -20 28k = 48 + -20 Combine like terms: 48 + -20 = 28 28k = 28 Divide each side by '28'. k = 1 Simplifying k = 1
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