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Simplifying 5(2k + -8) = 6(k + 8) Reorder the terms: 5(-8 + 2k) = 6(k + 8) (-8 * 5 + 2k * 5) = 6(k + 8) (-40 + 10k) = 6(k + 8) Reorder the terms: -40 + 10k = 6(8 + k) -40 + 10k = (8 * 6 + k * 6) -40 + 10k = (48 + 6k) Solving -40 + 10k = 48 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -40 + 10k + -6k = 48 + 6k + -6k Combine like terms: 10k + -6k = 4k -40 + 4k = 48 + 6k + -6k Combine like terms: 6k + -6k = 0 -40 + 4k = 48 + 0 -40 + 4k = 48 Add '40' to each side of the equation. -40 + 40 + 4k = 48 + 40 Combine like terms: -40 + 40 = 0 0 + 4k = 48 + 40 4k = 48 + 40 Combine like terms: 48 + 40 = 88 4k = 88 Divide each side by '4'. k = 22 Simplifying k = 22
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