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Simplifying 8 + (-3k) + -20 + -3k + 1 = 0 Reorder the terms: 8 + -20 + 1 + (-3k) + -3k = 0 Combine like terms: 8 + -20 = -12 -12 + 1 + (-3k) + -3k = 0 Combine like terms: -12 + 1 = -11 -11 + (-3k) + -3k = 0 Combine like terms: (-3k) + -3k = -6k -11 + -6k = 0 Solving -11 + -6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6k = 0 + 11 -6k = 0 + 11 Combine like terms: 0 + 11 = 11 -6k = 11 Divide each side by '-6'. k = -1.833333333 Simplifying k = -1.833333333
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