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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 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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