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Simplifying -8(n + 2) + 18 = -4n + -6 Reorder the terms: -8(2 + n) + 18 = -4n + -6 (2 * -8 + n * -8) + 18 = -4n + -6 (-16 + -8n) + 18 = -4n + -6 Reorder the terms: -16 + 18 + -8n = -4n + -6 Combine like terms: -16 + 18 = 2 2 + -8n = -4n + -6 Reorder the terms: 2 + -8n = -6 + -4n Solving 2 + -8n = -6 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 2 + -8n + 4n = -6 + -4n + 4n Combine like terms: -8n + 4n = -4n 2 + -4n = -6 + -4n + 4n Combine like terms: -4n + 4n = 0 2 + -4n = -6 + 0 2 + -4n = -6 Add '-2' to each side of the equation. 2 + -2 + -4n = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = -6 + -2 -4n = -6 + -2 Combine like terms: -6 + -2 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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