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Simplifying 7 + -6n = -15 + -2(7n + 9) Reorder the terms: 7 + -6n = -15 + -2(9 + 7n) 7 + -6n = -15 + (9 * -2 + 7n * -2) 7 + -6n = -15 + (-18 + -14n) Combine like terms: -15 + -18 = -33 7 + -6n = -33 + -14n Solving 7 + -6n = -33 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 7 + -6n + 14n = -33 + -14n + 14n Combine like terms: -6n + 14n = 8n 7 + 8n = -33 + -14n + 14n Combine like terms: -14n + 14n = 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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