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Simplifying -3(n + 7) + 2n = 8n + 15 Reorder the terms: -3(7 + n) + 2n = 8n + 15 (7 * -3 + n * -3) + 2n = 8n + 15 (-21 + -3n) + 2n = 8n + 15 Combine like terms: -3n + 2n = -1n -21 + -1n = 8n + 15 Reorder the terms: -21 + -1n = 15 + 8n Solving -21 + -1n = 15 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -21 + -1n + -8n = 15 + 8n + -8n Combine like terms: -1n + -8n = -9n -21 + -9n = 15 + 8n + -8n Combine like terms: 8n + -8n = 0 -21 + -9n = 15 + 0 -21 + -9n = 15 Add '21' to each side of the equation. -21 + 21 + -9n = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -9n = 15 + 21 -9n = 15 + 21 Combine like terms: 15 + 21 = 36 -9n = 36 Divide each side by '-9'. n = -4 Simplifying n = -4
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