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Simplifying -9(n + 5) = -2(n + -6) Reorder the terms: -9(5 + n) = -2(n + -6) (5 * -9 + n * -9) = -2(n + -6) (-45 + -9n) = -2(n + -6) Reorder the terms: -45 + -9n = -2(-6 + n) -45 + -9n = (-6 * -2 + n * -2) -45 + -9n = (12 + -2n) Solving -45 + -9n = 12 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -45 + -9n + 2n = 12 + -2n + 2n Combine like terms: -9n + 2n = -7n -45 + -7n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 -45 + -7n = 12 + 0 -45 + -7n = 12 Add '45' to each side of the equation. -45 + 45 + -7n = 12 + 45 Combine like terms: -45 + 45 = 0 0 + -7n = 12 + 45 -7n = 12 + 45 Combine like terms: 12 + 45 = 57 -7n = 57 Divide each side by '-7'. n = -8.142857143 Simplifying n = -8.142857143
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