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Simplifying 8k + 8(4k + -5) = 0 Reorder the terms: 8k + 8(-5 + 4k) = 0 8k + (-5 * 8 + 4k * 8) = 0 8k + (-40 + 32k) = 0 Reorder the terms: -40 + 8k + 32k = 0 Combine like terms: 8k + 32k = 40k -40 + 40k = 0 Solving -40 + 40k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 40k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 40k = 0 + 40 40k = 0 + 40 Combine like terms: 0 + 40 = 40 40k = 40 Divide each side by '40'. k = 1 Simplifying k = 1
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