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Simplifying 7m + 3n + -1[11 + -2m + (n + 5)] + -1(-1m + -3n + 8) = 0 Reorder the terms: 7m + 3n + -1[11 + -2m + (5 + n)] + -1(-1m + -3n + 8) = 0 Remove parenthesis around (5 + n) 7m + 3n + -1[11 + -2m + 5 + n] + -1(-1m + -3n + 8) = 0 Reorder the terms: 7m + 3n + -1[11 + 5 + -2m + n] + -1(-1m + -3n + 8) = 0 Combine like terms: 11 + 5 = 16 7m + 3n + -1[16 + -2m + n] + -1(-1m + -3n + 8) = 0 7m + 3n + [16 * -1 + -2m * -1 + n * -1] + -1(-1m + -3n + 8) = 0 7m + 3n + [-16 + 2m + -1n] + -1(-1m + -3n + 8) = 0 Reorder the terms: 7m + 3n + -16 + 2m + -1n + -1(8 + -1m + -3n) = 0 7m + 3n + -16 + 2m + -1n + (8 * -1 + -1m * -1 + -3n * -1) = 0 7m + 3n + -16 + 2m + -1n + (-8 + 1m + 3n) = 0 Reorder the terms: -16 + -8 + 7m + 2m + 1m + 3n + -1n + 3n = 0 Combine like terms: -16 + -8 = -24 -24 + 7m + 2m + 1m + 3n + -1n + 3n = 0 Combine like terms: 7m + 2m = 9m -24 + 9m + 1m + 3n + -1n + 3n = 0 Combine like terms: 9m + 1m = 10m -24 + 10m + 3n + -1n + 3n = 0 Combine like terms: 3n + -1n = 2n -24 + 10m + 2n + 3n = 0 Combine like terms: 2n + 3n = 5n -24 + 10m + 5n = 0 Solving -24 + 10m + 5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 10m + 24 + 5n = 0 + 24 Reorder the terms: -24 + 24 + 10m + 5n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 10m + 5n = 0 + 24 10m + 5n = 0 + 24 Combine like terms: 0 + 24 = 24 10m + 5n = 24 Add '-5n' to each side of the equation. 10m + 5n + -5n = 24 + -5n Combine like terms: 5n + -5n = 0 10m + 0 = 24 + -5n 10m = 24 + -5n Divide each side by '10'. m = 2.4 + -0.5n Simplifying m = 2.4 + -0.5n
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