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Simplifying -317 = 3 + 5(8k + -8) Reorder the terms: -317 = 3 + 5(-8 + 8k) -317 = 3 + (-8 * 5 + 8k * 5) -317 = 3 + (-40 + 40k) Combine like terms: 3 + -40 = -37 -317 = -37 + 40k Solving -317 = -37 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. -317 + -40k = -37 + 40k + -40k Combine like terms: 40k + -40k = 0 -317 + -40k = -37 + 0 -317 + -40k = -37 Add '317' to each side of the equation. -317 + 317 + -40k = -37 + 317 Combine like terms: -317 + 317 = 0 0 + -40k = -37 + 317 -40k = -37 + 317 Combine like terms: -37 + 317 = 280 -40k = 280 Divide each side by '-40'. k = -7 Simplifying k = -7
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