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Simplifying 5(k + -7) + -1k + 1 = 0 Reorder the terms: 5(-7 + k) + -1k + 1 = 0 (-7 * 5 + k * 5) + -1k + 1 = 0 (-35 + 5k) + -1k + 1 = 0 Reorder the terms: -35 + 1 + 5k + -1k = 0 Combine like terms: -35 + 1 = -34 -34 + 5k + -1k = 0 Combine like terms: 5k + -1k = 4k -34 + 4k = 0 Solving -34 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 4k = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 4k = 0 + 34 4k = 0 + 34 Combine like terms: 0 + 34 = 34 4k = 34 Divide each side by '4'. k = 8.5 Simplifying k = 8.5
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