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Simplifying 4(2 + -4k) + 8(7k + -1) = 0 (2 * 4 + -4k * 4) + 8(7k + -1) = 0 (8 + -16k) + 8(7k + -1) = 0 Reorder the terms: 8 + -16k + 8(-1 + 7k) = 0 8 + -16k + (-1 * 8 + 7k * 8) = 0 8 + -16k + (-8 + 56k) = 0 Reorder the terms: 8 + -8 + -16k + 56k = 0 Combine like terms: 8 + -8 = 0 0 + -16k + 56k = 0 -16k + 56k = 0 Combine like terms: -16k + 56k = 40k 40k = 0 Solving 40k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '40'. k = 0.0 Simplifying k = 0.0
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