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Simplifying 5m + -1(-45k) + 10m + -10k = 0 Remove parenthesis around (-45k) 5m + -1 * -45k + 10m + -10k = 0 Multiply -1 * -45 5m + 45k + 10m + -10k = 0 Reorder the terms: 45k + -10k + 5m + 10m = 0 Combine like terms: 45k + -10k = 35k 35k + 5m + 10m = 0 Combine like terms: 5m + 10m = 15m 35k + 15m = 0 Solving 35k + 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. 35k + 15m + -15m = 0 + -15m Combine like terms: 15m + -15m = 0 35k + 0 = 0 + -15m 35k = 0 + -15m Remove the zero: 35k = -15m Divide each side by '35'. k = -0.4285714286m Simplifying k = -0.4285714286m
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