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Simplifying 4(k + -9) + 4k = -108 Reorder the terms: 4(-9 + k) + 4k = -108 (-9 * 4 + k * 4) + 4k = -108 (-36 + 4k) + 4k = -108 Combine like terms: 4k + 4k = 8k -36 + 8k = -108 Solving -36 + 8k = -108 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 8k = -108 + 36 Combine like terms: -36 + 36 = 0 0 + 8k = -108 + 36 8k = -108 + 36 Combine like terms: -108 + 36 = -72 8k = -72 Divide each side by '8'. k = -9 Simplifying k = -9
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