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Simplifying 4(2n + -2) = 5n + 16 Reorder the terms: 4(-2 + 2n) = 5n + 16 (-2 * 4 + 2n * 4) = 5n + 16 (-8 + 8n) = 5n + 16 Reorder the terms: -8 + 8n = 16 + 5n Solving -8 + 8n = 16 + 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. -8 + 8n + -5n = 16 + 5n + -5n Combine like terms: 8n + -5n = 3n -8 + 3n = 16 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 3n = 16 + 0 -8 + 3n = 16 Add '8' to each side of the equation. -8 + 8 + 3n = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 16 + 8 3n = 16 + 8 Combine like terms: 16 + 8 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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