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Simplifying 8(n + 2) = 4n + -2(-3n + -3) Reorder the terms: 8(2 + n) = 4n + -2(-3n + -3) (2 * 8 + n * 8) = 4n + -2(-3n + -3) (16 + 8n) = 4n + -2(-3n + -3) Reorder the terms: 16 + 8n = 4n + -2(-3 + -3n) 16 + 8n = 4n + (-3 * -2 + -3n * -2) 16 + 8n = 4n + (6 + 6n) Reorder the terms: 16 + 8n = 6 + 4n + 6n Combine like terms: 4n + 6n = 10n 16 + 8n = 6 + 10n Solving 16 + 8n = 6 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 16 + 8n + -10n = 6 + 10n + -10n Combine like terms: 8n + -10n = -2n 16 + -2n = 6 + 10n + -10n Combine like terms: 10n + -10n = 0 16 + -2n = 6 + 0 16 + -2n = 6 Add '-16' to each side of the equation. 16 + -16 + -2n = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -2n = 6 + -16 -2n = 6 + -16 Combine like terms: 6 + -16 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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