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Simplifying -7(4 + -2k) = -6k + 32 (4 * -7 + -2k * -7) = -6k + 32 (-28 + 14k) = -6k + 32 Reorder the terms: -28 + 14k = 32 + -6k Solving -28 + 14k = 32 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -28 + 14k + 6k = 32 + -6k + 6k Combine like terms: 14k + 6k = 20k -28 + 20k = 32 + -6k + 6k Combine like terms: -6k + 6k = 0 -28 + 20k = 32 + 0 -28 + 20k = 32 Add '28' to each side of the equation. -28 + 28 + 20k = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 20k = 32 + 28 20k = 32 + 28 Combine like terms: 32 + 28 = 60 20k = 60 Divide each side by '20'. k = 3 Simplifying k = 3
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