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Simplifying 13k + 6 + -8m + 9 + k = 0 Reorder the terms: 6 + 9 + 13k + k + -8m = 0 Combine like terms: 6 + 9 = 15 15 + 13k + k + -8m = 0 Combine like terms: 13k + k = 14k 15 + 14k + -8m = 0 Solving 15 + 14k + -8m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 14k + -15 + -8m = 0 + -15 Reorder the terms: 15 + -15 + 14k + -8m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 14k + -8m = 0 + -15 14k + -8m = 0 + -15 Combine like terms: 0 + -15 = -15 14k + -8m = -15 Add '8m' to each side of the equation. 14k + -8m + 8m = -15 + 8m Combine like terms: -8m + 8m = 0 14k + 0 = -15 + 8m 14k = -15 + 8m Divide each side by '14'. k = -1.071428571 + 0.5714285714m Simplifying k = -1.071428571 + 0.5714285714m
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