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Simplifying 4m + n + [5m + -6(m + -1n)] = 0 4m + n + [5m + (m * -6 + -1n * -6)] = 0 4m + n + [5m + (-6m + 6n)] = 0 Combine like terms: 5m + -6m = -1m 4m + n + [-1m + 6n] = 0 Remove brackets around [-1m + 6n] 4m + n + -1m + 6n = 0 Reorder the terms: 4m + -1m + n + 6n = 0 Combine like terms: 4m + -1m = 3m 3m + n + 6n = 0 Combine like terms: n + 6n = 7n 3m + 7n = 0 Solving 3m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 3m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 3m + 0 = 0 + -7n 3m = 0 + -7n Remove the zero: 3m = -7n Divide each side by '3'. m = -2.333333333n Simplifying m = -2.333333333n
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