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Simplifying 11 + -2m + -1[(n + 5) + (-1m + -3n + 8)] = 0 Reorder the terms: 11 + -2m + -1[(5 + n) + (-1m + -3n + 8)] = 0 Remove parenthesis around (5 + n) 11 + -2m + -1[5 + n + (-1m + -3n + 8)] = 0 Reorder the terms: 11 + -2m + -1[5 + n + (8 + -1m + -3n)] = 0 Remove parenthesis around (8 + -1m + -3n) 11 + -2m + -1[5 + n + 8 + -1m + -3n] = 0 Reorder the terms: 11 + -2m + -1[5 + 8 + -1m + n + -3n] = 0 Combine like terms: 5 + 8 = 13 11 + -2m + -1[13 + -1m + n + -3n] = 0 Combine like terms: n + -3n = -2n 11 + -2m + -1[13 + -1m + -2n] = 0 11 + -2m + [13 * -1 + -1m * -1 + -2n * -1] = 0 11 + -2m + [-13 + 1m + 2n] = 0 Reorder the terms: 11 + -13 + -2m + 1m + 2n = 0 Combine like terms: 11 + -13 = -2 -2 + -2m + 1m + 2n = 0 Combine like terms: -2m + 1m = -1m -2 + -1m + 2n = 0 Solving -2 + -1m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1m + 2 + 2n = 0 + 2 Reorder the terms: -2 + 2 + -1m + 2n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m + 2n = 0 + 2 -1m + 2n = 0 + 2 Combine like terms: 0 + 2 = 2 -1m + 2n = 2 Add '-2n' to each side of the equation. -1m + 2n + -2n = 2 + -2n Combine like terms: 2n + -2n = 0 -1m + 0 = 2 + -2n -1m = 2 + -2n Divide each side by '-1'. m = -2 + 2n Simplifying m = -2 + 2n
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