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Simplifying 7(9k + 6m) = 0 (9k * 7 + 6m * 7) = 0 (63k + 42m) = 0 Solving 63k + 42m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42m' to each side of the equation. 63k + 42m + -42m = 0 + -42m Combine like terms: 42m + -42m = 0 63k + 0 = 0 + -42m 63k = 0 + -42m Remove the zero: 63k = -42m Divide each side by '63'. k = -0.6666666667m Simplifying k = -0.6666666667m
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