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Simplifying -7(3n + 7) = 5(-6n + -8) Reorder the terms: -7(7 + 3n) = 5(-6n + -8) (7 * -7 + 3n * -7) = 5(-6n + -8) (-49 + -21n) = 5(-6n + -8) Reorder the terms: -49 + -21n = 5(-8 + -6n) -49 + -21n = (-8 * 5 + -6n * 5) -49 + -21n = (-40 + -30n) Solving -49 + -21n = -40 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -49 + -21n + 30n = -40 + -30n + 30n Combine like terms: -21n + 30n = 9n -49 + 9n = -40 + -30n + 30n Combine like terms: -30n + 30n = 0 -49 + 9n = -40 + 0 -49 + 9n = -40 Add '49' to each side of the equation. -49 + 49 + 9n = -40 + 49 Combine like terms: -49 + 49 = 0 0 + 9n = -40 + 49 9n = -40 + 49 Combine like terms: -40 + 49 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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