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Simplifying 9m + 32 = 7n + -2(n + -2) Reorder the terms: 32 + 9m = 7n + -2(n + -2) Reorder the terms: 32 + 9m = 7n + -2(-2 + n) 32 + 9m = 7n + (-2 * -2 + n * -2) 32 + 9m = 7n + (4 + -2n) Reorder the terms: 32 + 9m = 4 + 7n + -2n Combine like terms: 7n + -2n = 5n 32 + 9m = 4 + 5n Solving 32 + 9m = 4 + 5n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 9m = 4 + -32 + 5n Combine like terms: 32 + -32 = 0 0 + 9m = 4 + -32 + 5n 9m = 4 + -32 + 5n Combine like terms: 4 + -32 = -28 9m = -28 + 5n Divide each side by '9'. m = -3.111111111 + 0.5555555556n Simplifying m = -3.111111111 + 0.5555555556n
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