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Simplifying -11 + 3n = -7(5 + 3n) -11 + 3n = (5 * -7 + 3n * -7) -11 + 3n = (-35 + -21n) Solving -11 + 3n = -35 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -11 + 3n + 21n = -35 + -21n + 21n Combine like terms: 3n + 21n = 24n -11 + 24n = -35 + -21n + 21n Combine like terms: -21n + 21n = 0 -11 + 24n = -35 + 0 -11 + 24n = -35 Add '11' to each side of the equation. -11 + 11 + 24n = -35 + 11 Combine like terms: -11 + 11 = 0 0 + 24n = -35 + 11 24n = -35 + 11 Combine like terms: -35 + 11 = -24 24n = -24 Divide each side by '24'. n = -1 Simplifying n = -1
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