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Simplifying 6(5k + 2) = 28k + -4 Reorder the terms: 6(2 + 5k) = 28k + -4 (2 * 6 + 5k * 6) = 28k + -4 (12 + 30k) = 28k + -4 Reorder the terms: 12 + 30k = -4 + 28k Solving 12 + 30k = -4 + 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. 12 + 30k + -28k = -4 + 28k + -28k Combine like terms: 30k + -28k = 2k 12 + 2k = -4 + 28k + -28k Combine like terms: 28k + -28k = 0 12 + 2k = -4 + 0 12 + 2k = -4 Add '-12' to each side of the equation. 12 + -12 + 2k = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = -4 + -12 2k = -4 + -12 Combine like terms: -4 + -12 = -16 2k = -16 Divide each side by '2'. k = -8 Simplifying k = -8
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