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Simplifying -8(n + 2) + 18 = -5n + -16 Reorder the terms: -8(2 + n) + 18 = -5n + -16 (2 * -8 + n * -8) + 18 = -5n + -16 (-16 + -8n) + 18 = -5n + -16 Reorder the terms: -16 + 18 + -8n = -5n + -16 Combine like terms: -16 + 18 = 2 2 + -8n = -5n + -16 Reorder the terms: 2 + -8n = -16 + -5n Solving 2 + -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. 2 + -8n + 5n = -16 + -5n + 5n Combine like terms: -8n + 5n = -3n 2 + -3n = -16 + -5n + 5n Combine like terms: -5n + 5n = 0 2 + -3n = -16 + 0 2 + -3n = -16 Add '-2' to each side of the equation. 2 + -2 + -3n = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = -16 + -2 -3n = -16 + -2 Combine like terms: -16 + -2 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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