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Simplifying (m + -3) + -1[n + 6 + -1(2m + -5n + 10)] + 2 = 0 Reorder the terms: (-3 + m) + -1[n + 6 + -1(2m + -5n + 10)] + 2 = 0 Remove parenthesis around (-3 + m) -3 + m + -1[n + 6 + -1(2m + -5n + 10)] + 2 = 0 Reorder the terms: -3 + m + -1[n + 6 + -1(10 + 2m + -5n)] + 2 = 0 -3 + m + -1[n + 6 + (10 * -1 + 2m * -1 + -5n * -1)] + 2 = 0 -3 + m + -1[n + 6 + (-10 + -2m + 5n)] + 2 = 0 Reorder the terms: -3 + m + -1[6 + -10 + -2m + n + 5n] + 2 = 0 Combine like terms: 6 + -10 = -4 -3 + m + -1[-4 + -2m + n + 5n] + 2 = 0 Combine like terms: n + 5n = 6n -3 + m + -1[-4 + -2m + 6n] + 2 = 0 -3 + m + [-4 * -1 + -2m * -1 + 6n * -1] + 2 = 0 -3 + m + [4 + 2m + -6n] + 2 = 0 Reorder the terms: -3 + 4 + 2 + m + 2m + -6n = 0 Combine like terms: -3 + 4 = 1 1 + 2 + m + 2m + -6n = 0 Combine like terms: 1 + 2 = 3 3 + m + 2m + -6n = 0 Combine like terms: m + 2m = 3m 3 + 3m + -6n = 0 Solving 3 + 3m + -6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3m + -3 + -6n = 0 + -3 Reorder the terms: 3 + -3 + 3m + -6n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3m + -6n = 0 + -3 3m + -6n = 0 + -3 Combine like terms: 0 + -3 = -3 3m + -6n = -3 Add '6n' to each side of the equation. 3m + -6n + 6n = -3 + 6n Combine like terms: -6n + 6n = 0 3m + 0 = -3 + 6n 3m = -3 + 6n Divide each side by '3'. m = -1 + 2n Simplifying m = -1 + 2n
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