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Simplifying -9(n + -7) = -7 + 5n Reorder the terms: -9(-7 + n) = -7 + 5n (-7 * -9 + n * -9) = -7 + 5n (63 + -9n) = -7 + 5n Solving 63 + -9n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 63 + -9n + -5n = -7 + 5n + -5n Combine like terms: -9n + -5n = -14n 63 + -14n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 63 + -14n = -7 + 0 63 + -14n = -7 Add '-63' to each side of the equation. 63 + -63 + -14n = -7 + -63 Combine like terms: 63 + -63 = 0 0 + -14n = -7 + -63 -14n = -7 + -63 Combine like terms: -7 + -63 = -70 -14n = -70 Divide each side by '-14'. n = 5 Simplifying n = 5
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