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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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