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Simplifying -3(n + 2) = -22 + 5n Reorder the terms: -3(2 + n) = -22 + 5n (2 * -3 + n * -3) = -22 + 5n (-6 + -3n) = -22 + 5n Solving -6 + -3n = -22 + 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. -6 + -3n + -5n = -22 + 5n + -5n Combine like terms: -3n + -5n = -8n -6 + -8n = -22 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + -8n = -22 + 0 -6 + -8n = -22 Add '6' to each side of the equation. -6 + 6 + -8n = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -8n = -22 + 6 -8n = -22 + 6 Combine like terms: -22 + 6 = -16 -8n = -16 Divide each side by '-8'. n = 2 Simplifying n = 2
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