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Simplifying -11 + -3n = -6n + 5(3n + -7) Reorder the terms: -11 + -3n = -6n + 5(-7 + 3n) -11 + -3n = -6n + (-7 * 5 + 3n * 5) -11 + -3n = -6n + (-35 + 15n) Reorder the terms: -11 + -3n = -35 + -6n + 15n Combine like terms: -6n + 15n = 9n -11 + -3n = -35 + 9n Solving -11 + -3n = -35 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -11 + -3n + -9n = -35 + 9n + -9n Combine like terms: -3n + -9n = -12n -11 + -12n = -35 + 9n + -9n Combine like terms: 9n + -9n = 0 -11 + -12n = -35 + 0 -11 + -12n = -35 Add '11' to each side of the equation. -11 + 11 + -12n = -35 + 11 Combine like terms: -11 + 11 = 0 0 + -12n = -35 + 11 -12n = -35 + 11 Combine like terms: -35 + 11 = -24 -12n = -24 Divide each side by '-12'. n = 2 Simplifying n = 2
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