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Simplifying 7n + 5(n + -8) = -124 Reorder the terms: 7n + 5(-8 + n) = -124 7n + (-8 * 5 + n * 5) = -124 7n + (-40 + 5n) = -124 Reorder the terms: -40 + 7n + 5n = -124 Combine like terms: 7n + 5n = 12n -40 + 12n = -124 Solving -40 + 12n = -124 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 12n = -124 + 40 Combine like terms: -40 + 40 = 0 0 + 12n = -124 + 40 12n = -124 + 40 Combine like terms: -124 + 40 = -84 12n = -84 Divide each side by '12'. n = -7 Simplifying n = -7
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