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Simplifying -9 = -3(3n + 7) + -6(5n + -2) Reorder the terms: -9 = -3(7 + 3n) + -6(5n + -2) -9 = (7 * -3 + 3n * -3) + -6(5n + -2) -9 = (-21 + -9n) + -6(5n + -2) Reorder the terms: -9 = -21 + -9n + -6(-2 + 5n) -9 = -21 + -9n + (-2 * -6 + 5n * -6) -9 = -21 + -9n + (12 + -30n) Reorder the terms: -9 = -21 + 12 + -9n + -30n Combine like terms: -21 + 12 = -9 -9 = -9 + -9n + -30n Combine like terms: -9n + -30n = -39n -9 = -9 + -39n Add '9' to each side of the equation. -9 + 9 = -9 + 9 + -39n Combine like terms: -9 + 9 = 0 0 = -9 + 9 + -39n Combine like terms: -9 + 9 = 0 0 = 0 + -39n 0 = -39n Solving 0 = -39n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '39n' to each side of the equation. 0 + 39n = -39n + 39n Remove the zero: 39n = -39n + 39n Combine like terms: -39n + 39n = 0 39n = 0 Divide each side by '39'. n = 0 Simplifying n = 0
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