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Simplifying -5 + 3n = 7(2n + -7) Reorder the terms: -5 + 3n = 7(-7 + 2n) -5 + 3n = (-7 * 7 + 2n * 7) -5 + 3n = (-49 + 14n) Solving -5 + 3n = -49 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -5 + 3n + -14n = -49 + 14n + -14n Combine like terms: 3n + -14n = -11n -5 + -11n = -49 + 14n + -14n Combine like terms: 14n + -14n = 0 -5 + -11n = -49 + 0 -5 + -11n = -49 Add '5' to each side of the equation. -5 + 5 + -11n = -49 + 5 Combine like terms: -5 + 5 = 0 0 + -11n = -49 + 5 -11n = -49 + 5 Combine like terms: -49 + 5 = -44 -11n = -44 Divide each side by '-11'. n = 4 Simplifying n = 4
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