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Simplifying 7(n + 1) = -1n + -33 Reorder the terms: 7(1 + n) = -1n + -33 (1 * 7 + n * 7) = -1n + -33 (7 + 7n) = -1n + -33 Reorder the terms: 7 + 7n = -33 + -1n Solving 7 + 7n = -33 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 7 + 7n + n = -33 + -1n + n Combine like terms: 7n + n = 8n 7 + 8n = -33 + -1n + n Combine like terms: -1n + n = 0 7 + 8n = -33 + 0 7 + 8n = -33 Add '-7' to each side of the equation. 7 + -7 + 8n = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 8n = -33 + -7 8n = -33 + -7 Combine like terms: -33 + -7 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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