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Simplifying -8k + 5(2k + -8) = 4(k + -6) Reorder the terms: -8k + 5(-8 + 2k) = 4(k + -6) -8k + (-8 * 5 + 2k * 5) = 4(k + -6) -8k + (-40 + 10k) = 4(k + -6) Reorder the terms: -40 + -8k + 10k = 4(k + -6) Combine like terms: -8k + 10k = 2k -40 + 2k = 4(k + -6) Reorder the terms: -40 + 2k = 4(-6 + k) -40 + 2k = (-6 * 4 + k * 4) -40 + 2k = (-24 + 4k) Solving -40 + 2k = -24 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -40 + 2k + -4k = -24 + 4k + -4k Combine like terms: 2k + -4k = -2k -40 + -2k = -24 + 4k + -4k Combine like terms: 4k + -4k = 0 -40 + -2k = -24 + 0 -40 + -2k = -24 Add '40' to each side of the equation. -40 + 40 + -2k = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -2k = -24 + 40 -2k = -24 + 40 Combine like terms: -24 + 40 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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