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Simplifying 2m + (3n + 1) + -6 = 8 Reorder the terms: 2m + (1 + 3n) + -6 = 8 Remove parenthesis around (1 + 3n) 2m + 1 + 3n + -6 = 8 Reorder the terms: 1 + -6 + 2m + 3n = 8 Combine like terms: 1 + -6 = -5 -5 + 2m + 3n = 8 Solving -5 + 2m + 3n = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2m + 5 + 3n = 8 + 5 Reorder the terms: -5 + 5 + 2m + 3n = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 2m + 3n = 8 + 5 2m + 3n = 8 + 5 Combine like terms: 8 + 5 = 13 2m + 3n = 13 Add '-3n' to each side of the equation. 2m + 3n + -3n = 13 + -3n Combine like terms: 3n + -3n = 0 2m + 0 = 13 + -3n 2m = 13 + -3n Divide each side by '2'. m = 6.5 + -1.5n Simplifying m = 6.5 + -1.5n
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