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Simplifying 4m + -3n = 2m + 5n + 10 Reorder the terms: 4m + -3n = 10 + 2m + 5n Solving 4m + -3n = 10 + 2m + 5n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 4m + -2m + -3n = 10 + 2m + -2m + 5n Combine like terms: 4m + -2m = 2m 2m + -3n = 10 + 2m + -2m + 5n Combine like terms: 2m + -2m = 0 2m + -3n = 10 + 0 + 5n 2m + -3n = 10 + 5n Add '3n' to each side of the equation. 2m + -3n + 3n = 10 + 5n + 3n Combine like terms: -3n + 3n = 0 2m + 0 = 10 + 5n + 3n 2m = 10 + 5n + 3n Combine like terms: 5n + 3n = 8n 2m = 10 + 8n Divide each side by '2'. m = 5 + 4n Simplifying m = 5 + 4n
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