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Simplifying 6(2m + n) + -1[-8(3m + -1n) + -5(m + 7n)] = 0 (2m * 6 + n * 6) + -1[-8(3m + -1n) + -5(m + 7n)] = 0 (12m + 6n) + -1[-8(3m + -1n) + -5(m + 7n)] = 0 12m + 6n + -1[(3m * -8 + -1n * -8) + -5(m + 7n)] = 0 12m + 6n + -1[(-24m + 8n) + -5(m + 7n)] = 0 12m + 6n + -1[-24m + 8n + (m * -5 + 7n * -5)] = 0 12m + 6n + -1[-24m + 8n + (-5m + -35n)] = 0 Reorder the terms: 12m + 6n + -1[-24m + -5m + 8n + -35n] = 0 Combine like terms: -24m + -5m = -29m 12m + 6n + -1[-29m + 8n + -35n] = 0 Combine like terms: 8n + -35n = -27n 12m + 6n + -1[-29m + -27n] = 0 12m + 6n + [-29m * -1 + -27n * -1] = 0 12m + 6n + [29m + 27n] = 0 Reorder the terms: 12m + 29m + 6n + 27n = 0 Combine like terms: 12m + 29m = 41m 41m + 6n + 27n = 0 Combine like terms: 6n + 27n = 33n 41m + 33n = 0 Solving 41m + 33n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33n' to each side of the equation. 41m + 33n + -33n = 0 + -33n Combine like terms: 33n + -33n = 0 41m + 0 = 0 + -33n 41m = 0 + -33n Remove the zero: 41m = -33n Divide each side by '41'. m = -0.8048780488n Simplifying m = -0.8048780488n
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