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Simplifying 14 + 3n = 8n + -3(m + -4) Reorder the terms: 14 + 3n = 8n + -3(-4 + m) 14 + 3n = 8n + (-4 * -3 + m * -3) 14 + 3n = 8n + (12 + -3m) Reorder the terms: 14 + 3n = 12 + -3m + 8n Solving 14 + 3n = 12 + -3m + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 14 + 3n + -8n = 12 + -3m + 8n + -8n Combine like terms: 3n + -8n = -5n 14 + -5n = 12 + -3m + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -5n = 12 + -3m + 0 14 + -5n = 12 + -3m Add '-14' to each side of the equation. 14 + -14 + -5n = 12 + -14 + -3m Combine like terms: 14 + -14 = 0 0 + -5n = 12 + -14 + -3m -5n = 12 + -14 + -3m Combine like terms: 12 + -14 = -2 -5n = -2 + -3m Divide each side by '-5'. n = 0.4 + 0.6m Simplifying n = 0.4 + 0.6m
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