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Simplifying (k + -8) * 5 = (7 + k) + -1 Reorder the terms: (-8 + k) * 5 = (7 + k) + -1 Reorder the terms for easier multiplication: 5(-8 + k) = (7 + k) + -1 (-8 * 5 + k * 5) = (7 + k) + -1 (-40 + 5k) = (7 + k) + -1 Remove parenthesis around (7 + k) -40 + 5k = 7 + k + -1 Reorder the terms: -40 + 5k = 7 + -1 + k Combine like terms: 7 + -1 = 6 -40 + 5k = 6 + k Solving -40 + 5k = 6 + k 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 = 6 + k + -1k Combine like terms: 5k + -1k = 4k -40 + 4k = 6 + k + -1k Combine like terms: k + -1k = 0 -40 + 4k = 6 + 0 -40 + 4k = 6 Add '40' to each side of the equation. -40 + 40 + 4k = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 4k = 6 + 40 4k = 6 + 40 Combine like terms: 6 + 40 = 46 4k = 46 Divide each side by '4'. k = 11.5 Simplifying k = 11.5
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