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Simplifying 5m + 3n + p + -5p + 3n + 2n + -1m = 0 Reorder the terms: 5m + -1m + 3n + 3n + 2n + p + -5p = 0 Combine like terms: 5m + -1m = 4m 4m + 3n + 3n + 2n + p + -5p = 0 Combine like terms: 3n + 3n = 6n 4m + 6n + 2n + p + -5p = 0 Combine like terms: 6n + 2n = 8n 4m + 8n + p + -5p = 0 Combine like terms: p + -5p = -4p 4m + 8n + -4p = 0 Solving 4m + 8n + -4p = 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. 4m + 8n + -8n + -4p = 0 + -8n Combine like terms: 8n + -8n = 0 4m + 0 + -4p = 0 + -8n 4m + -4p = 0 + -8n Remove the zero: 4m + -4p = -8n Add '4p' to each side of the equation. 4m + -4p + 4p = -8n + 4p Combine like terms: -4p + 4p = 0 4m + 0 = -8n + 4p 4m = -8n + 4p Divide each side by '4'. m = -2n + p Simplifying m = -2n + p
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