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Simplifying -7(4k + 5) = 189 Reorder the terms: -7(5 + 4k) = 189 (5 * -7 + 4k * -7) = 189 (-35 + -28k) = 189 Solving -35 + -28k = 189 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -28k = 189 + 35 Combine like terms: -35 + 35 = 0 0 + -28k = 189 + 35 -28k = 189 + 35 Combine like terms: 189 + 35 = 224 -28k = 224 Divide each side by '-28'. k = -8 Simplifying k = -8
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