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Simplifying -2(3k + -8) + -2(5k + 1) + -3k = 0 Reorder the terms: -2(-8 + 3k) + -2(5k + 1) + -3k = 0 (-8 * -2 + 3k * -2) + -2(5k + 1) + -3k = 0 (16 + -6k) + -2(5k + 1) + -3k = 0 Reorder the terms: 16 + -6k + -2(1 + 5k) + -3k = 0 16 + -6k + (1 * -2 + 5k * -2) + -3k = 0 16 + -6k + (-2 + -10k) + -3k = 0 Reorder the terms: 16 + -2 + -6k + -10k + -3k = 0 Combine like terms: 16 + -2 = 14 14 + -6k + -10k + -3k = 0 Combine like terms: -6k + -10k = -16k 14 + -16k + -3k = 0 Combine like terms: -16k + -3k = -19k 14 + -19k = 0 Solving 14 + -19k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -19k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -19k = 0 + -14 -19k = 0 + -14 Combine like terms: 0 + -14 = -14 -19k = -14 Divide each side by '-19'. k = 0.7368421053 Simplifying k = 0.7368421053
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