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Simplifying 2n + 5 = 8n + -10 + 3 Reorder the terms: 5 + 2n = 8n + -10 + 3 Reorder the terms: 5 + 2n = -10 + 3 + 8n Combine like terms: -10 + 3 = -7 5 + 2n = -7 + 8n Solving 5 + 2n = -7 + 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. 5 + 2n + -8n = -7 + 8n + -8n Combine like terms: 2n + -8n = -6n 5 + -6n = -7 + 8n + -8n Combine like terms: 8n + -8n = 0 5 + -6n = -7 + 0 5 + -6n = -7 Add '-5' to each side of the equation. 5 + -5 + -6n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -6n = -7 + -5 -6n = -7 + -5 Combine like terms: -7 + -5 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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