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Simplifying 7m + 5n + 4w + -2m + 3n + -6w = 0 Reorder the terms: 7m + -2m + 5n + 3n + 4w + -6w = 0 Combine like terms: 7m + -2m = 5m 5m + 5n + 3n + 4w + -6w = 0 Combine like terms: 5n + 3n = 8n 5m + 8n + 4w + -6w = 0 Combine like terms: 4w + -6w = -2w 5m + 8n + -2w = 0 Solving 5m + 8n + -2w = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. 5m + 8n + -8n + -2w = 0 + -8n Combine like terms: 8n + -8n = 0 5m + 0 + -2w = 0 + -8n 5m + -2w = 0 + -8n Remove the zero: 5m + -2w = -8n Add '2w' to each side of the equation. 5m + -2w + 2w = -8n + 2w Combine like terms: -2w + 2w = 0 5m + 0 = -8n + 2w 5m = -8n + 2w Divide each side by '5'. m = -1.6n + 0.4w Simplifying m = -1.6n + 0.4w
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