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Simplifying 9 + (-2k) + (-4) + -6k + 1 = 0 9 + (-2k) + -4 + -6k + 1 = 0 Reorder the terms: 9 + -4 + 1 + (-2k) + -6k = 0 Combine like terms: 9 + -4 = 5 5 + 1 + (-2k) + -6k = 0 Combine like terms: 5 + 1 = 6 6 + (-2k) + -6k = 0 Combine like terms: (-2k) + -6k = -8k 6 + -8k = 0 Solving 6 + -8k = 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 + -8k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8k = 0 + -6 -8k = 0 + -6 Combine like terms: 0 + -6 = -6 -8k = -6 Divide each side by '-8'. k = 0.75 Simplifying k = 0.75
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