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Simplifying 160 = -5(-4k + -4) + 8k Reorder the terms: 160 = -5(-4 + -4k) + 8k 160 = (-4 * -5 + -4k * -5) + 8k 160 = (20 + 20k) + 8k Combine like terms: 20k + 8k = 28k 160 = 20 + 28k Solving 160 = 20 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. 160 + -28k = 20 + 28k + -28k Combine like terms: 28k + -28k = 0 160 + -28k = 20 + 0 160 + -28k = 20 Add '-160' to each side of the equation. 160 + -160 + -28k = 20 + -160 Combine like terms: 160 + -160 = 0 0 + -28k = 20 + -160 -28k = 20 + -160 Combine like terms: 20 + -160 = -140 -28k = -140 Divide each side by '-28'. k = 5 Simplifying k = 5
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