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Simplifying 5(k + -7) + k + 7 = 0 Reorder the terms: 5(-7 + k) + k + 7 = 0 (-7 * 5 + k * 5) + k + 7 = 0 (-35 + 5k) + k + 7 = 0 Reorder the terms: -35 + 7 + 5k + k = 0 Combine like terms: -35 + 7 = -28 -28 + 5k + k = 0 Combine like terms: 5k + k = 6k -28 + 6k = 0 Solving -28 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 6k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 6k = 0 + 28 6k = 0 + 28 Combine like terms: 0 + 28 = 28 6k = 28 Divide each side by '6'. k = 4.666666667 Simplifying k = 4.666666667
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