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Simplifying (4m + 7n) + (-3m + 12) = 0 Remove parenthesis around (4m + 7n) 4m + 7n + (-3m + 12) = 0 Reorder the terms: 4m + 7n + (12 + -3m) = 0 Remove parenthesis around (12 + -3m) 4m + 7n + 12 + -3m = 0 Reorder the terms: 12 + 4m + -3m + 7n = 0 Combine like terms: 4m + -3m = 1m 12 + 1m + 7n = 0 Solving 12 + 1m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 1m + -12 + 7n = 0 + -12 Reorder the terms: 12 + -12 + 1m + 7n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1m + 7n = 0 + -12 1m + 7n = 0 + -12 Combine like terms: 0 + -12 = -12 1m + 7n = -12 Add '-7n' to each side of the equation. 1m + 7n + -7n = -12 + -7n Combine like terms: 7n + -7n = 0 1m + 0 = -12 + -7n 1m = -12 + -7n Divide each side by '1'. m = -12 + -7n Simplifying m = -12 + -7n
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