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Simplifying 5m + 8 + -1n = 6(n + -1) Reorder the terms: 8 + 5m + -1n = 6(n + -1) Reorder the terms: 8 + 5m + -1n = 6(-1 + n) 8 + 5m + -1n = (-1 * 6 + n * 6) 8 + 5m + -1n = (-6 + 6n) Solving 8 + 5m + -1n = -6 + 6n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5m + -8 + -1n = -6 + -8 + 6n Reorder the terms: 8 + -8 + 5m + -1n = -6 + -8 + 6n Combine like terms: 8 + -8 = 0 0 + 5m + -1n = -6 + -8 + 6n 5m + -1n = -6 + -8 + 6n Combine like terms: -6 + -8 = -14 5m + -1n = -14 + 6n Add 'n' to each side of the equation. 5m + -1n + n = -14 + 6n + n Combine like terms: -1n + n = 0 5m + 0 = -14 + 6n + n 5m = -14 + 6n + n Combine like terms: 6n + n = 7n 5m = -14 + 7n Divide each side by '5'. m = -2.8 + 1.4n Simplifying m = -2.8 + 1.4n
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