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Simplifying 7n + -6(5n + -7) = -96 Reorder the terms: 7n + -6(-7 + 5n) = -96 7n + (-7 * -6 + 5n * -6) = -96 7n + (42 + -30n) = -96 Reorder the terms: 42 + 7n + -30n = -96 Combine like terms: 7n + -30n = -23n 42 + -23n = -96 Solving 42 + -23n = -96 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -23n = -96 + -42 Combine like terms: 42 + -42 = 0 0 + -23n = -96 + -42 -23n = -96 + -42 Combine like terms: -96 + -42 = -138 -23n = -138 Divide each side by '-23'. n = 6 Simplifying n = 6
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