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Simplifying 7n + 2[7 + -1(1 + -2m)] = 0 7n + 2[7 + (1 * -1 + -2m * -1)] = 0 7n + 2[7 + (-1 + 2m)] = 0 Combine like terms: 7 + -1 = 6 7n + 2[6 + 2m] = 0 7n + [6 * 2 + 2m * 2] = 0 7n + [12 + 4m] = 0 Reorder the terms: 12 + 4m + 7n = 0 Solving 12 + 4m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4m + -12 + 7n = 0 + -12 Reorder the terms: 12 + -12 + 4m + 7n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4m + 7n = 0 + -12 4m + 7n = 0 + -12 Combine like terms: 0 + -12 = -12 4m + 7n = -12 Add '-7n' to each side of the equation. 4m + 7n + -7n = -12 + -7n Combine like terms: 7n + -7n = 0 4m + 0 = -12 + -7n 4m = -12 + -7n Divide each side by '4'. m = -3 + -1.75n Simplifying m = -3 + -1.75n
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