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Simplifying 5(k + -8) = 1(7 + k) Reorder the terms: 5(-8 + k) = 1(7 + k) (-8 * 5 + k * 5) = 1(7 + k) (-40 + 5k) = 1(7 + k) -40 + 5k = (7 * 1 + k * 1) -40 + 5k = (7 + 1k) Solving -40 + 5k = 7 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -40 + 5k + -1k = 7 + 1k + -1k Combine like terms: 5k + -1k = 4k -40 + 4k = 7 + 1k + -1k Combine like terms: 1k + -1k = 0 -40 + 4k = 7 + 0 -40 + 4k = 7 Add '40' to each side of the equation. -40 + 40 + 4k = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 4k = 7 + 40 4k = 7 + 40 Combine like terms: 7 + 40 = 47 4k = 47 Divide each side by '4'. k = 11.75 Simplifying k = 11.75
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