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Simplifying 9m + -45 + 8n + 32 = 38 Reorder the terms: -45 + 32 + 9m + 8n = 38 Combine like terms: -45 + 32 = -13 -13 + 9m + 8n = 38 Solving -13 + 9m + 8n = 38 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 9m + 13 + 8n = 38 + 13 Reorder the terms: -13 + 13 + 9m + 8n = 38 + 13 Combine like terms: -13 + 13 = 0 0 + 9m + 8n = 38 + 13 9m + 8n = 38 + 13 Combine like terms: 38 + 13 = 51 9m + 8n = 51 Add '-8n' to each side of the equation. 9m + 8n + -8n = 51 + -8n Combine like terms: 8n + -8n = 0 9m + 0 = 51 + -8n 9m = 51 + -8n Divide each side by '9'. m = 5.666666667 + -0.8888888889n Simplifying m = 5.666666667 + -0.8888888889n
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