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Simplifying 3(-2 + -1k) = -6(1 + 8k) (-2 * 3 + -1k * 3) = -6(1 + 8k) (-6 + -3k) = -6(1 + 8k) -6 + -3k = (1 * -6 + 8k * -6) -6 + -3k = (-6 + -48k) Add '6' to each side of the equation. -6 + 6 + -3k = -6 + 6 + -48k Combine like terms: -6 + 6 = 0 0 + -3k = -6 + 6 + -48k -3k = -6 + 6 + -48k Combine like terms: -6 + 6 = 0 -3k = 0 + -48k -3k = -48k Solving -3k = -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. -3k + 48k = -48k + 48k Combine like terms: -3k + 48k = 45k 45k = -48k + 48k Combine like terms: -48k + 48k = 0 45k = 0 Divide each side by '45'. k = 0 Simplifying k = 0
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