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Simplifying -1(7 + k) = 5(k + -7) (7 * -1 + k * -1) = 5(k + -7) (-7 + -1k) = 5(k + -7) Reorder the terms: -7 + -1k = 5(-7 + k) -7 + -1k = (-7 * 5 + k * 5) -7 + -1k = (-35 + 5k) Solving -7 + -1k = -35 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -7 + -1k + -5k = -35 + 5k + -5k Combine like terms: -1k + -5k = -6k -7 + -6k = -35 + 5k + -5k Combine like terms: 5k + -5k = 0 -7 + -6k = -35 + 0 -7 + -6k = -35 Add '7' to each side of the equation. -7 + 7 + -6k = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -6k = -35 + 7 -6k = -35 + 7 Combine like terms: -35 + 7 = -28 -6k = -28 Divide each side by '-6'. k = 4.666666667 Simplifying k = 4.666666667
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