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Simplifying 7(n + -8) = 5(n + -8) Reorder the terms: 7(-8 + n) = 5(n + -8) (-8 * 7 + n * 7) = 5(n + -8) (-56 + 7n) = 5(n + -8) Reorder the terms: -56 + 7n = 5(-8 + n) -56 + 7n = (-8 * 5 + n * 5) -56 + 7n = (-40 + 5n) Solving -56 + 7n = -40 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -56 + 7n + -5n = -40 + 5n + -5n Combine like terms: 7n + -5n = 2n -56 + 2n = -40 + 5n + -5n Combine like terms: 5n + -5n = 0 -56 + 2n = -40 + 0 -56 + 2n = -40 Add '56' to each side of the equation. -56 + 56 + 2n = -40 + 56 Combine like terms: -56 + 56 = 0 0 + 2n = -40 + 56 2n = -40 + 56 Combine like terms: -40 + 56 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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