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Simplifying -5n + -10m + 8n + 4m + -7 = 0 Reorder the terms: -7 + -10m + 4m + -5n + 8n = 0 Combine like terms: -10m + 4m = -6m -7 + -6m + -5n + 8n = 0 Combine like terms: -5n + 8n = 3n -7 + -6m + 3n = 0 Solving -7 + -6m + 3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6m + 7 + 3n = 0 + 7 Reorder the terms: -7 + 7 + -6m + 3n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6m + 3n = 0 + 7 -6m + 3n = 0 + 7 Combine like terms: 0 + 7 = 7 -6m + 3n = 7 Add '-3n' to each side of the equation. -6m + 3n + -3n = 7 + -3n Combine like terms: 3n + -3n = 0 -6m + 0 = 7 + -3n -6m = 7 + -3n Divide each side by '-6'. m = -1.166666667 + 0.5n Simplifying m = -1.166666667 + 0.5n
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