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Simplifying -4(-7 + k) = 52 (-7 * -4 + k * -4) = 52 (28 + -4k) = 52 Solving 28 + -4k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -4k = 52 + -28 Combine like terms: 28 + -28 = 0 0 + -4k = 52 + -28 -4k = 52 + -28 Combine like terms: 52 + -28 = 24 -4k = 24 Divide each side by '-4'. k = -6 Simplifying k = -6
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