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Simplifying 180 = -8k + 5(8k + 4) Reorder the terms: 180 = -8k + 5(4 + 8k) 180 = -8k + (4 * 5 + 8k * 5) 180 = -8k + (20 + 40k) Reorder the terms: 180 = 20 + -8k + 40k Combine like terms: -8k + 40k = 32k 180 = 20 + 32k Solving 180 = 20 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 180 + -32k = 20 + 32k + -32k Combine like terms: 32k + -32k = 0 180 + -32k = 20 + 0 180 + -32k = 20 Add '-180' to each side of the equation. 180 + -180 + -32k = 20 + -180 Combine like terms: 180 + -180 = 0 0 + -32k = 20 + -180 -32k = 20 + -180 Combine like terms: 20 + -180 = -160 -32k = -160 Divide each side by '-32'. k = 5 Simplifying k = 5
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