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Simplifying -9n + 7 = 3n + 19 Reorder the terms: 7 + -9n = 3n + 19 Reorder the terms: 7 + -9n = 19 + 3n Solving 7 + -9n = 19 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + -9n + -3n = 19 + 3n + -3n Combine like terms: -9n + -3n = -12n 7 + -12n = 19 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -12n = 19 + 0 7 + -12n = 19 Add '-7' to each side of the equation. 7 + -7 + -12n = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -12n = 19 + -7 -12n = 19 + -7 Combine like terms: 19 + -7 = 12 -12n = 12 Divide each side by '-12'. n = -1 Simplifying n = -1
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