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Simplifying -9(-5n + -3) = 7(n + -7) Reorder the terms: -9(-3 + -5n) = 7(n + -7) (-3 * -9 + -5n * -9) = 7(n + -7) (27 + 45n) = 7(n + -7) Reorder the terms: 27 + 45n = 7(-7 + n) 27 + 45n = (-7 * 7 + n * 7) 27 + 45n = (-49 + 7n) Solving 27 + 45n = -49 + 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. 27 + 45n + -7n = -49 + 7n + -7n Combine like terms: 45n + -7n = 38n 27 + 38n = -49 + 7n + -7n Combine like terms: 7n + -7n = 0 27 + 38n = -49 + 0 27 + 38n = -49 Add '-27' to each side of the equation. 27 + -27 + 38n = -49 + -27 Combine like terms: 27 + -27 = 0 0 + 38n = -49 + -27 38n = -49 + -27 Combine like terms: -49 + -27 = -76 38n = -76 Divide each side by '38'. n = -2 Simplifying n = -2
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