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Simplifying (m + 12) + (n + 40) = 0 Reorder the terms: (12 + m) + (n + 40) = 0 Remove parenthesis around (12 + m) 12 + m + (n + 40) = 0 Reorder the terms: 12 + m + (40 + n) = 0 Remove parenthesis around (40 + n) 12 + m + 40 + n = 0 Reorder the terms: 12 + 40 + m + n = 0 Combine like terms: 12 + 40 = 52 52 + m + n = 0 Solving 52 + m + n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + m + -52 + n = 0 + -52 Reorder the terms: 52 + -52 + m + n = 0 + -52 Combine like terms: 52 + -52 = 0 0 + m + n = 0 + -52 m + n = 0 + -52 Combine like terms: 0 + -52 = -52 m + n = -52 Add '-1n' to each side of the equation. m + n + -1n = -52 + -1n Combine like terms: n + -1n = 0 m + 0 = -52 + -1n m = -52 + -1n Simplifying m = -52 + -1n
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