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Simplifying -6 + 5(8 + -1k) + -8k = 0 -6 + (8 * 5 + -1k * 5) + -8k = 0 -6 + (40 + -5k) + -8k = 0 Combine like terms: -6 + 40 = 34 34 + -5k + -8k = 0 Combine like terms: -5k + -8k = -13k 34 + -13k = 0 Solving 34 + -13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -13k = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -13k = 0 + -34 -13k = 0 + -34 Combine like terms: 0 + -34 = -34 -13k = -34 Divide each side by '-13'. k = 2.615384615 Simplifying k = 2.615384615
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