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Simplifying 320 = -8(5k + -5) Reorder the terms: 320 = -8(-5 + 5k) 320 = (-5 * -8 + 5k * -8) 320 = (40 + -40k) Solving 320 = 40 + -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. 320 + 40k = 40 + -40k + 40k Combine like terms: -40k + 40k = 0 320 + 40k = 40 + 0 320 + 40k = 40 Add '-320' to each side of the equation. 320 + -320 + 40k = 40 + -320 Combine like terms: 320 + -320 = 0 0 + 40k = 40 + -320 40k = 40 + -320 Combine like terms: 40 + -320 = -280 40k = -280 Divide each side by '40'. k = -7 Simplifying k = -7
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