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Simplifying -4n + 8n + -10 = 5n + -2 Reorder the terms: -10 + -4n + 8n = 5n + -2 Combine like terms: -4n + 8n = 4n -10 + 4n = 5n + -2 Reorder the terms: -10 + 4n = -2 + 5n Solving -10 + 4n = -2 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -10 + 4n + -5n = -2 + 5n + -5n Combine like terms: 4n + -5n = -1n -10 + -1n = -2 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + -1n = -2 + 0 -10 + -1n = -2 Add '10' to each side of the equation. -10 + 10 + -1n = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = -2 + 10 -1n = -2 + 10 Combine like terms: -2 + 10 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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