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Simplifying 13k + 8m + -6 + 9 + k = 0 Reorder the terms: -6 + 9 + 13k + k + 8m = 0 Combine like terms: -6 + 9 = 3 3 + 13k + k + 8m = 0 Combine like terms: 13k + k = 14k 3 + 14k + 8m = 0 Solving 3 + 14k + 8m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 14k + -3 + 8m = 0 + -3 Reorder the terms: 3 + -3 + 14k + 8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 14k + 8m = 0 + -3 14k + 8m = 0 + -3 Combine like terms: 0 + -3 = -3 14k + 8m = -3 Add '-8m' to each side of the equation. 14k + 8m + -8m = -3 + -8m Combine like terms: 8m + -8m = 0 14k + 0 = -3 + -8m 14k = -3 + -8m Divide each side by '14'. k = -0.2142857143 + -0.5714285714m Simplifying k = -0.2142857143 + -0.5714285714m
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