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Simplifying 6(-28k + 24) + 4(38k + 34) = -11k + 23k Reorder the terms: 6(24 + -28k) + 4(38k + 34) = -11k + 23k (24 * 6 + -28k * 6) + 4(38k + 34) = -11k + 23k (144 + -168k) + 4(38k + 34) = -11k + 23k Reorder the terms: 144 + -168k + 4(34 + 38k) = -11k + 23k 144 + -168k + (34 * 4 + 38k * 4) = -11k + 23k 144 + -168k + (136 + 152k) = -11k + 23k Reorder the terms: 144 + 136 + -168k + 152k = -11k + 23k Combine like terms: 144 + 136 = 280 280 + -168k + 152k = -11k + 23k Combine like terms: -168k + 152k = -16k 280 + -16k = -11k + 23k Combine like terms: -11k + 23k = 12k 280 + -16k = 12k Solving 280 + -16k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 280 + -16k + -12k = 12k + -12k Combine like terms: -16k + -12k = -28k 280 + -28k = 12k + -12k Combine like terms: 12k + -12k = 0 280 + -28k = 0 Add '-280' to each side of the equation. 280 + -280 + -28k = 0 + -280 Combine like terms: 280 + -280 = 0 0 + -28k = 0 + -280 -28k = 0 + -280 Combine like terms: 0 + -280 = -280 -28k = -280 Divide each side by '-28'. k = 10 Simplifying k = 10
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