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Simplifying -13 + -7n = -6 + -9(n + -3) Reorder the terms: -13 + -7n = -6 + -9(-3 + n) -13 + -7n = -6 + (-3 * -9 + n * -9) -13 + -7n = -6 + (27 + -9n) Combine like terms: -6 + 27 = 21 -13 + -7n = 21 + -9n Solving -13 + -7n = 21 + -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. -13 + -7n + 9n = 21 + -9n + 9n Combine like terms: -7n + 9n = 2n -13 + 2n = 21 + -9n + 9n Combine like terms: -9n + 9n = 0 -13 + 2n = 21 + 0 -13 + 2n = 21 Add '13' to each side of the equation. -13 + 13 + 2n = 21 + 13 Combine like terms: -13 + 13 = 0 0 + 2n = 21 + 13 2n = 21 + 13 Combine like terms: 21 + 13 = 34 2n = 34 Divide each side by '2'. n = 17 Simplifying n = 17
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