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Simplifying (2m + 7) + (3 + 4n) = 0 Reorder the terms: (7 + 2m) + (3 + 4n) = 0 Remove parenthesis around (7 + 2m) 7 + 2m + (3 + 4n) = 0 Remove parenthesis around (3 + 4n) 7 + 2m + 3 + 4n = 0 Reorder the terms: 7 + 3 + 2m + 4n = 0 Combine like terms: 7 + 3 = 10 10 + 2m + 4n = 0 Solving 10 + 2m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2m + -10 + 4n = 0 + -10 Reorder the terms: 10 + -10 + 2m + 4n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2m + 4n = 0 + -10 2m + 4n = 0 + -10 Combine like terms: 0 + -10 = -10 2m + 4n = -10 Add '-4n' to each side of the equation. 2m + 4n + -4n = -10 + -4n Combine like terms: 4n + -4n = 0 2m + 0 = -10 + -4n 2m = -10 + -4n Divide each side by '2'. m = -5 + -2n Simplifying m = -5 + -2n
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