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Simplifying 4m + -1m + 2n + -3 + 6n = 5n + -7 + 1 Reorder the terms: -3 + 4m + -1m + 2n + 6n = 5n + -7 + 1 Combine like terms: 4m + -1m = 3m -3 + 3m + 2n + 6n = 5n + -7 + 1 Combine like terms: 2n + 6n = 8n -3 + 3m + 8n = 5n + -7 + 1 Reorder the terms: -3 + 3m + 8n = -7 + 1 + 5n Combine like terms: -7 + 1 = -6 -3 + 3m + 8n = -6 + 5n Solving -3 + 3m + 8n = -6 + 5n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3m + 3 + 8n = -6 + 3 + 5n Reorder the terms: -3 + 3 + 3m + 8n = -6 + 3 + 5n Combine like terms: -3 + 3 = 0 0 + 3m + 8n = -6 + 3 + 5n 3m + 8n = -6 + 3 + 5n Combine like terms: -6 + 3 = -3 3m + 8n = -3 + 5n Add '-8n' to each side of the equation. 3m + 8n + -8n = -3 + 5n + -8n Combine like terms: 8n + -8n = 0 3m + 0 = -3 + 5n + -8n 3m = -3 + 5n + -8n Combine like terms: 5n + -8n = -3n 3m = -3 + -3n Divide each side by '3'. m = -1 + -1n Simplifying m = -1 + -1n
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