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Simplifying 5(2k + -7) + -1k + 7 = 0 Reorder the terms: 5(-7 + 2k) + -1k + 7 = 0 (-7 * 5 + 2k * 5) + -1k + 7 = 0 (-35 + 10k) + -1k + 7 = 0 Reorder the terms: -35 + 7 + 10k + -1k = 0 Combine like terms: -35 + 7 = -28 -28 + 10k + -1k = 0 Combine like terms: 10k + -1k = 9k -28 + 9k = 0 Solving -28 + 9k = 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 + 9k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 9k = 0 + 28 9k = 0 + 28 Combine like terms: 0 + 28 = 28 9k = 28 Divide each side by '9'. k = 3.111111111 Simplifying k = 3.111111111
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