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Simplifying -7(4k + 5) = -175 Reorder the terms: -7(5 + 4k) = -175 (5 * -7 + 4k * -7) = -175 (-35 + -28k) = -175 Solving -35 + -28k = -175 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 = -175 + 35 Combine like terms: -35 + 35 = 0 0 + -28k = -175 + 35 -28k = -175 + 35 Combine like terms: -175 + 35 = -140 -28k = -140 Divide each side by '-28'. k = 5 Simplifying k = 5
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