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Simplifying -83 = 7 + -3(6 + -3n) -83 = 7 + (6 * -3 + -3n * -3) -83 = 7 + (-18 + 9n) Combine like terms: 7 + -18 = -11 -83 = -11 + 9n Solving -83 = -11 + 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. -83 + -9n = -11 + 9n + -9n Combine like terms: 9n + -9n = 0 -83 + -9n = -11 + 0 -83 + -9n = -11 Add '83' to each side of the equation. -83 + 83 + -9n = -11 + 83 Combine like terms: -83 + 83 = 0 0 + -9n = -11 + 83 -9n = -11 + 83 Combine like terms: -11 + 83 = 72 -9n = 72 Divide each side by '-9'. n = -8 Simplifying n = -8
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