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Simplifying 4(4k + -4k) = -5k + -32 Combine like terms: 4k + -4k = 0 4(0) = -5k + -32 Multiply 4 * 0 0 = -5k + -32 Anything times zero is zero. 0 = -5k + -32 Reorder the terms: 0 = -32 + -5k Solving 0 = -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. 0 + 5k = -32 + -5k + 5k Remove the zero: 5k = -32 + -5k + 5k Combine like terms: -5k + 5k = 0 5k = -32 + 0 5k = -32 Divide each side by '5'. k = -6.4 Simplifying k = -6.4
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