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Simplifying 6k + -1(4k + 2) + -8 + 8(2k + 2) = 0 Reorder the terms: 6k + -1(2 + 4k) + -8 + 8(2k + 2) = 0 6k + (2 * -1 + 4k * -1) + -8 + 8(2k + 2) = 0 6k + (-2 + -4k) + -8 + 8(2k + 2) = 0 Reorder the terms: 6k + -2 + -4k + -8 + 8(2 + 2k) = 0 6k + -2 + -4k + -8 + (2 * 8 + 2k * 8) = 0 6k + -2 + -4k + -8 + (16 + 16k) = 0 Reorder the terms: -2 + -8 + 16 + 6k + -4k + 16k = 0 Combine like terms: -2 + -8 = -10 -10 + 16 + 6k + -4k + 16k = 0 Combine like terms: -10 + 16 = 6 6 + 6k + -4k + 16k = 0 Combine like terms: 6k + -4k = 2k 6 + 2k + 16k = 0 Combine like terms: 2k + 16k = 18k 6 + 18k = 0 Solving 6 + 18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 18k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 18k = 0 + -6 18k = 0 + -6 Combine like terms: 0 + -6 = -6 18k = -6 Divide each side by '18'. k = -0.3333333333 Simplifying k = -0.3333333333
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