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Simplifying -9(n + 3) + -6 = -13 + -7n Reorder the terms: -9(3 + n) + -6 = -13 + -7n (3 * -9 + n * -9) + -6 = -13 + -7n (-27 + -9n) + -6 = -13 + -7n Reorder the terms: -27 + -6 + -9n = -13 + -7n Combine like terms: -27 + -6 = -33 -33 + -9n = -13 + -7n Solving -33 + -9n = -13 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -33 + -9n + 7n = -13 + -7n + 7n Combine like terms: -9n + 7n = -2n -33 + -2n = -13 + -7n + 7n Combine like terms: -7n + 7n = 0 -33 + -2n = -13 + 0 -33 + -2n = -13 Add '33' to each side of the equation. -33 + 33 + -2n = -13 + 33 Combine like terms: -33 + 33 = 0 0 + -2n = -13 + 33 -2n = -13 + 33 Combine like terms: -13 + 33 = 20 -2n = 20 Divide each side by '-2'. n = -10 Simplifying n = -10
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