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Simplifying 8(4k + -4) = -54k + -32 Reorder the terms: 8(-4 + 4k) = -54k + -32 (-4 * 8 + 4k * 8) = -54k + -32 (-32 + 32k) = -54k + -32 Reorder the terms: -32 + 32k = -32 + -54k Add '32' to each side of the equation. -32 + 32 + 32k = -32 + 32 + -54k Combine like terms: -32 + 32 = 0 0 + 32k = -32 + 32 + -54k 32k = -32 + 32 + -54k Combine like terms: -32 + 32 = 0 32k = 0 + -54k 32k = -54k Solving 32k = -54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54k' to each side of the equation. 32k + 54k = -54k + 54k Combine like terms: 32k + 54k = 86k 86k = -54k + 54k Combine like terms: -54k + 54k = 0 86k = 0 Divide each side by '86'. k = 0 Simplifying k = 0
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