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Simplifying 8k + -5 + -13k + -9 = 0 Reorder the terms: -5 + -9 + 8k + -13k = 0 Combine like terms: -5 + -9 = -14 -14 + 8k + -13k = 0 Combine like terms: 8k + -13k = -5k -14 + -5k = 0 Solving -14 + -5k = 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 + -5k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -5k = 0 + 14 -5k = 0 + 14 Combine like terms: 0 + 14 = 14 -5k = 14 Divide each side by '-5'. k = -2.8 Simplifying k = -2.8
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