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Simplifying -5(k + -7) + -1k + 7 = 0 Reorder the terms: -5(-7 + k) + -1k + 7 = 0 (-7 * -5 + k * -5) + -1k + 7 = 0 (35 + -5k) + -1k + 7 = 0 Reorder the terms: 35 + 7 + -5k + -1k = 0 Combine like terms: 35 + 7 = 42 42 + -5k + -1k = 0 Combine like terms: -5k + -1k = -6k 42 + -6k = 0 Solving 42 + -6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -6k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -6k = 0 + -42 -6k = 0 + -42 Combine like terms: 0 + -42 = -42 -6k = -42 Divide each side by '-6'. k = 7 Simplifying k = 7
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