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