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Simplifying -8m + -1(3k + 7m) = 0 -8m + (3k * -1 + 7m * -1) = 0 -8m + (-3k + -7m) = 0 Reorder the terms: -3k + -8m + -7m = 0 Combine like terms: -8m + -7m = -15m -3k + -15m = 0 Solving -3k + -15m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15m' to each side of the equation. -3k + -15m + 15m = 0 + 15m Combine like terms: -15m + 15m = 0 -3k + 0 = 0 + 15m -3k = 0 + 15m Remove the zero: -3k = 15m Divide each side by '-3'. k = -5m Simplifying k = -5m
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