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Simplifying 12 + -4k = 8(6k + 8) Reorder the terms: 12 + -4k = 8(8 + 6k) 12 + -4k = (8 * 8 + 6k * 8) 12 + -4k = (64 + 48k) Solving 12 + -4k = 64 + 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. 12 + -4k + -48k = 64 + 48k + -48k Combine like terms: -4k + -48k = -52k 12 + -52k = 64 + 48k + -48k Combine like terms: 48k + -48k = 0 12 + -52k = 64 + 0 12 + -52k = 64 Add '-12' to each side of the equation. 12 + -12 + -52k = 64 + -12 Combine like terms: 12 + -12 = 0 0 + -52k = 64 + -12 -52k = 64 + -12 Combine like terms: 64 + -12 = 52 -52k = 52 Divide each side by '-52'. k = -1 Simplifying k = -1
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