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Simplifying 7n + 5(n + 1) = -7 Reorder the terms: 7n + 5(1 + n) = -7 7n + (1 * 5 + n * 5) = -7 7n + (5 + 5n) = -7 Reorder the terms: 5 + 7n + 5n = -7 Combine like terms: 7n + 5n = 12n 5 + 12n = -7 Solving 5 + 12n = -7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 12n = -7 + -5 12n = -7 + -5 Combine like terms: -7 + -5 = -12 12n = -12 Divide each side by '12'. n = -1 Simplifying n = -1
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