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Simplifying 4 = 4(7 + -1k) 4 = (7 * 4 + -1k * 4) 4 = (28 + -4k) Solving 4 = 28 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 4 + 4k = 28 + -4k + 4k Combine like terms: -4k + 4k = 0 4 + 4k = 28 + 0 4 + 4k = 28 Add '-4' to each side of the equation. 4 + -4 + 4k = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 28 + -4 4k = 28 + -4 Combine like terms: 28 + -4 = 24 4k = 24 Divide each side by '4'. k = 6 Simplifying k = 6
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