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Simplifying -7(3n + -3) + -5 = -7n + 21 Reorder the terms: -7(-3 + 3n) + -5 = -7n + 21 (-3 * -7 + 3n * -7) + -5 = -7n + 21 (21 + -21n) + -5 = -7n + 21 Reorder the terms: 21 + -5 + -21n = -7n + 21 Combine like terms: 21 + -5 = 16 16 + -21n = -7n + 21 Reorder the terms: 16 + -21n = 21 + -7n Solving 16 + -21n = 21 + -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. 16 + -21n + 7n = 21 + -7n + 7n Combine like terms: -21n + 7n = -14n 16 + -14n = 21 + -7n + 7n Combine like terms: -7n + 7n = 0 16 + -14n = 21 + 0 16 + -14n = 21 Add '-16' to each side of the equation. 16 + -16 + -14n = 21 + -16 Combine like terms: 16 + -16 = 0 0 + -14n = 21 + -16 -14n = 21 + -16 Combine like terms: 21 + -16 = 5 -14n = 5 Divide each side by '-14'. n = -0.3571428571 Simplifying n = -0.3571428571
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