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Simplifying 89(4k + -4) = -5k + -32 Reorder the terms: 89(-4 + 4k) = -5k + -32 (-4 * 89 + 4k * 89) = -5k + -32 (-356 + 356k) = -5k + -32 Reorder the terms: -356 + 356k = -32 + -5k Solving -356 + 356k = -32 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -356 + 356k + 5k = -32 + -5k + 5k Combine like terms: 356k + 5k = 361k -356 + 361k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 -356 + 361k = -32 + 0 -356 + 361k = -32 Add '356' to each side of the equation. -356 + 356 + 361k = -32 + 356 Combine like terms: -356 + 356 = 0 0 + 361k = -32 + 356 361k = -32 + 356 Combine like terms: -32 + 356 = 324 361k = 324 Divide each side by '361'. k = 0.8975069252 Simplifying k = 0.8975069252
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