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Simplifying -2 + 5(8k + -2) = -6(2 + -6k) Reorder the terms: -2 + 5(-2 + 8k) = -6(2 + -6k) -2 + (-2 * 5 + 8k * 5) = -6(2 + -6k) -2 + (-10 + 40k) = -6(2 + -6k) Combine like terms: -2 + -10 = -12 -12 + 40k = -6(2 + -6k) -12 + 40k = (2 * -6 + -6k * -6) -12 + 40k = (-12 + 36k) Add '12' to each side of the equation. -12 + 12 + 40k = -12 + 12 + 36k Combine like terms: -12 + 12 = 0 0 + 40k = -12 + 12 + 36k 40k = -12 + 12 + 36k Combine like terms: -12 + 12 = 0 40k = 0 + 36k 40k = 36k Solving 40k = 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. 40k + -36k = 36k + -36k Combine like terms: 40k + -36k = 4k 4k = 36k + -36k Combine like terms: 36k + -36k = 0 4k = 0 Divide each side by '4'. k = 0 Simplifying k = 0
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