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Simplifying -6(-7k + 7) = 6(4 + -8k) Reorder the terms: -6(7 + -7k) = 6(4 + -8k) (7 * -6 + -7k * -6) = 6(4 + -8k) (-42 + 42k) = 6(4 + -8k) -42 + 42k = (4 * 6 + -8k * 6) -42 + 42k = (24 + -48k) Solving -42 + 42k = 24 + -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. -42 + 42k + 48k = 24 + -48k + 48k Combine like terms: 42k + 48k = 90k -42 + 90k = 24 + -48k + 48k Combine like terms: -48k + 48k = 0 -42 + 90k = 24 + 0 -42 + 90k = 24 Add '42' to each side of the equation. -42 + 42 + 90k = 24 + 42 Combine like terms: -42 + 42 = 0 0 + 90k = 24 + 42 90k = 24 + 42 Combine like terms: 24 + 42 = 66 90k = 66 Divide each side by '90'. k = 0.7333333333 Simplifying k = 0.7333333333
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