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Simplifying 7 + -1n + 6 = -3(3n + 10) Reorder the terms: 7 + 6 + -1n = -3(3n + 10) Combine like terms: 7 + 6 = 13 13 + -1n = -3(3n + 10) Reorder the terms: 13 + -1n = -3(10 + 3n) 13 + -1n = (10 * -3 + 3n * -3) 13 + -1n = (-30 + -9n) Solving 13 + -1n = -30 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 13 + -1n + 9n = -30 + -9n + 9n Combine like terms: -1n + 9n = 8n 13 + 8n = -30 + -9n + 9n Combine like terms: -9n + 9n = 0 13 + 8n = -30 + 0 13 + 8n = -30 Add '-13' to each side of the equation. 13 + -13 + 8n = -30 + -13 Combine like terms: 13 + -13 = 0 0 + 8n = -30 + -13 8n = -30 + -13 Combine like terms: -30 + -13 = -43 8n = -43 Divide each side by '8'. n = -5.375 Simplifying n = -5.375
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