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Simplifying -7n + 39 = 6(-5n + -5) Reorder the terms: 39 + -7n = 6(-5n + -5) Reorder the terms: 39 + -7n = 6(-5 + -5n) 39 + -7n = (-5 * 6 + -5n * 6) 39 + -7n = (-30 + -30n) Solving 39 + -7n = -30 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 39 + -7n + 30n = -30 + -30n + 30n Combine like terms: -7n + 30n = 23n 39 + 23n = -30 + -30n + 30n Combine like terms: -30n + 30n = 0 39 + 23n = -30 + 0 39 + 23n = -30 Add '-39' to each side of the equation. 39 + -39 + 23n = -30 + -39 Combine like terms: 39 + -39 = 0 0 + 23n = -30 + -39 23n = -30 + -39 Combine like terms: -30 + -39 = -69 23n = -69 Divide each side by '23'. n = -3 Simplifying n = -3
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