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Simplifying -2m + 5n + -2 = 8m + 14 + -3n Reorder the terms: -2 + -2m + 5n = 8m + 14 + -3n Reorder the terms: -2 + -2m + 5n = 14 + 8m + -3n Solving -2 + -2m + 5n = 14 + 8m + -3n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -2 + -2m + -8m + 5n = 14 + 8m + -8m + -3n Combine like terms: -2m + -8m = -10m -2 + -10m + 5n = 14 + 8m + -8m + -3n Combine like terms: 8m + -8m = 0 -2 + -10m + 5n = 14 + 0 + -3n -2 + -10m + 5n = 14 + -3n Add '2' to each side of the equation. -2 + -10m + 2 + 5n = 14 + 2 + -3n Reorder the terms: -2 + 2 + -10m + 5n = 14 + 2 + -3n Combine like terms: -2 + 2 = 0 0 + -10m + 5n = 14 + 2 + -3n -10m + 5n = 14 + 2 + -3n Combine like terms: 14 + 2 = 16 -10m + 5n = 16 + -3n Add '-5n' to each side of the equation. -10m + 5n + -5n = 16 + -3n + -5n Combine like terms: 5n + -5n = 0 -10m + 0 = 16 + -3n + -5n -10m = 16 + -3n + -5n Combine like terms: -3n + -5n = -8n -10m = 16 + -8n Divide each side by '-10'. m = -1.6 + 0.8n Simplifying m = -1.6 + 0.8n
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