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Simplifying -34 = -1 + -3(2 + 3n) -34 = -1 + (2 * -3 + 3n * -3) -34 = -1 + (-6 + -9n) Combine like terms: -1 + -6 = -7 -34 = -7 + -9n Solving -34 = -7 + -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. -34 + 9n = -7 + -9n + 9n Combine like terms: -9n + 9n = 0 -34 + 9n = -7 + 0 -34 + 9n = -7 Add '34' to each side of the equation. -34 + 34 + 9n = -7 + 34 Combine like terms: -34 + 34 = 0 0 + 9n = -7 + 34 9n = -7 + 34 Combine like terms: -7 + 34 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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