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Simplifying 4(-12k + -6) = 8(-1k + 2) Reorder the terms: 4(-6 + -12k) = 8(-1k + 2) (-6 * 4 + -12k * 4) = 8(-1k + 2) (-24 + -48k) = 8(-1k + 2) Reorder the terms: -24 + -48k = 8(2 + -1k) -24 + -48k = (2 * 8 + -1k * 8) -24 + -48k = (16 + -8k) Solving -24 + -48k = 16 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -24 + -48k + 8k = 16 + -8k + 8k Combine like terms: -48k + 8k = -40k -24 + -40k = 16 + -8k + 8k Combine like terms: -8k + 8k = 0 -24 + -40k = 16 + 0 -24 + -40k = 16 Add '24' to each side of the equation. -24 + 24 + -40k = 16 + 24 Combine like terms: -24 + 24 = 0 0 + -40k = 16 + 24 -40k = 16 + 24 Combine like terms: 16 + 24 = 40 -40k = 40 Divide each side by '-40'. k = -1 Simplifying k = -1
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