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Simplifying -8(k + 4) = -9k + -54 Reorder the terms: -8(4 + k) = -9k + -54 (4 * -8 + k * -8) = -9k + -54 (-32 + -8k) = -9k + -54 Reorder the terms: -32 + -8k = -54 + -9k Solving -32 + -8k = -54 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -32 + -8k + 9k = -54 + -9k + 9k Combine like terms: -8k + 9k = 1k -32 + 1k = -54 + -9k + 9k Combine like terms: -9k + 9k = 0 -32 + 1k = -54 + 0 -32 + 1k = -54 Add '32' to each side of the equation. -32 + 32 + 1k = -54 + 32 Combine like terms: -32 + 32 = 0 0 + 1k = -54 + 32 1k = -54 + 32 Combine like terms: -54 + 32 = -22 1k = -22 Divide each side by '1'. k = -22 Simplifying k = -22
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