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Simplifying -2(5k + 6) + -2(k + -8) = 0 Reorder the terms: -2(6 + 5k) + -2(k + -8) = 0 (6 * -2 + 5k * -2) + -2(k + -8) = 0 (-12 + -10k) + -2(k + -8) = 0 Reorder the terms: -12 + -10k + -2(-8 + k) = 0 -12 + -10k + (-8 * -2 + k * -2) = 0 -12 + -10k + (16 + -2k) = 0 Reorder the terms: -12 + 16 + -10k + -2k = 0 Combine like terms: -12 + 16 = 4 4 + -10k + -2k = 0 Combine like terms: -10k + -2k = -12k 4 + -12k = 0 Solving 4 + -12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -12k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -12k = 0 + -4 -12k = 0 + -4 Combine like terms: 0 + -4 = -4 -12k = -4 Divide each side by '-12'. k = 0.3333333333 Simplifying k = 0.3333333333
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