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Simplifying 36 + 4k = -6(8k + -6) Reorder the terms: 36 + 4k = -6(-6 + 8k) 36 + 4k = (-6 * -6 + 8k * -6) 36 + 4k = (36 + -48k) Add '-36' to each side of the equation. 36 + -36 + 4k = 36 + -36 + -48k Combine like terms: 36 + -36 = 0 0 + 4k = 36 + -36 + -48k 4k = 36 + -36 + -48k Combine like terms: 36 + -36 = 0 4k = 0 + -48k 4k = -48k Solving 4k = -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. 4k + 48k = -48k + 48k Combine like terms: 4k + 48k = 52k 52k = -48k + 48k Combine like terms: -48k + 48k = 0 52k = 0 Divide each side by '52'. k = 0 Simplifying k = 0
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