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Simplifying 6k + -6(7k + -8) = 84 Reorder the terms: 6k + -6(-8 + 7k) = 84 6k + (-8 * -6 + 7k * -6) = 84 6k + (48 + -42k) = 84 Reorder the terms: 48 + 6k + -42k = 84 Combine like terms: 6k + -42k = -36k 48 + -36k = 84 Solving 48 + -36k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -36k = 84 + -48 Combine like terms: 48 + -48 = 0 0 + -36k = 84 + -48 -36k = 84 + -48 Combine like terms: 84 + -48 = 36 -36k = 36 Divide each side by '-36'. k = -1 Simplifying k = -1
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