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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 = -33 -13 + 7n = -33 + -9n Solving -13 + 7n = -33 + -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 = -33 + -9n + 9n Combine like terms: 7n + 9n = 16n -13 + 16n = -33 + -9n + 9n Combine like terms: -9n + 9n = 0 -13 + 16n = -33 + 0 -13 + 16n = -33 Add '13' to each side of the equation. -13 + 13 + 16n = -33 + 13 Combine like terms: -13 + 13 = 0 0 + 16n = -33 + 13 16n = -33 + 13 Combine like terms: -33 + 13 = -20 16n = -20 Divide each side by '16'. n = -1.25 Simplifying n = -1.25
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