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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 = 4k 42 + 4k = 0 Solving 42 + 4k = 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 + 4k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 4k = 0 + -42 4k = 0 + -42 Combine like terms: 0 + -42 = -42 4k = -42 Divide each side by '4'. k = -10.5 Simplifying k = -10.5
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