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Simplifying -7(n + 3) + 4 = -12 + -8n Reorder the terms: -7(3 + n) + 4 = -12 + -8n (3 * -7 + n * -7) + 4 = -12 + -8n (-21 + -7n) + 4 = -12 + -8n Reorder the terms: -21 + 4 + -7n = -12 + -8n Combine like terms: -21 + 4 = -17 -17 + -7n = -12 + -8n Solving -17 + -7n = -12 + -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. -17 + -7n + 8n = -12 + -8n + 8n Combine like terms: -7n + 8n = 1n -17 + 1n = -12 + -8n + 8n Combine like terms: -8n + 8n = 0 -17 + 1n = -12 + 0 -17 + 1n = -12 Add '17' to each side of the equation. -17 + 17 + 1n = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 1n = -12 + 17 1n = -12 + 17 Combine like terms: -12 + 17 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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