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Simplifying (k + -7)(5) = 0 Reorder the terms: (-7 + k)(5) = 0 Reorder the terms for easier multiplication: 5(-7 + k) = 0 (-7 * 5 + k * 5) = 0 (-35 + 5k) = 0 Solving -35 + 5k = 0 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 + 5k = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 5k = 0 + 35 5k = 0 + 35 Combine like terms: 0 + 35 = 35 5k = 35 Divide each side by '5'. k = 7 Simplifying k = 7
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