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Simplifying -21 + 8n = 3(1 + 7n) + -5n -21 + 8n = (1 * 3 + 7n * 3) + -5n -21 + 8n = (3 + 21n) + -5n Combine like terms: 21n + -5n = 16n -21 + 8n = 3 + 16n Solving -21 + 8n = 3 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -21 + 8n + -16n = 3 + 16n + -16n Combine like terms: 8n + -16n = -8n -21 + -8n = 3 + 16n + -16n Combine like terms: 16n + -16n = 0 -21 + -8n = 3 + 0 -21 + -8n = 3 Add '21' to each side of the equation. -21 + 21 + -8n = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -8n = 3 + 21 -8n = 3 + 21 Combine like terms: 3 + 21 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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