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Simplifying 6(-1 + -7k) = -8(7 + -1k) (-1 * 6 + -7k * 6) = -8(7 + -1k) (-6 + -42k) = -8(7 + -1k) -6 + -42k = (7 * -8 + -1k * -8) -6 + -42k = (-56 + 8k) Solving -6 + -42k = -56 + 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. -6 + -42k + -8k = -56 + 8k + -8k Combine like terms: -42k + -8k = -50k -6 + -50k = -56 + 8k + -8k Combine like terms: 8k + -8k = 0 -6 + -50k = -56 + 0 -6 + -50k = -56 Add '6' to each side of the equation. -6 + 6 + -50k = -56 + 6 Combine like terms: -6 + 6 = 0 0 + -50k = -56 + 6 -50k = -56 + 6 Combine like terms: -56 + 6 = -50 -50k = -50 Divide each side by '-50'. k = 1 Simplifying k = 1
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