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Simplifying 7(n + -2) = 5(n + -8) + -4 Reorder the terms: 7(-2 + n) = 5(n + -8) + -4 (-2 * 7 + n * 7) = 5(n + -8) + -4 (-14 + 7n) = 5(n + -8) + -4 Reorder the terms: -14 + 7n = 5(-8 + n) + -4 -14 + 7n = (-8 * 5 + n * 5) + -4 -14 + 7n = (-40 + 5n) + -4 Reorder the terms: -14 + 7n = -40 + -4 + 5n Combine like terms: -40 + -4 = -44 -14 + 7n = -44 + 5n Solving -14 + 7n = -44 + 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. -14 + 7n + -5n = -44 + 5n + -5n Combine like terms: 7n + -5n = 2n -14 + 2n = -44 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + 2n = -44 + 0 -14 + 2n = -44 Add '14' to each side of the equation. -14 + 14 + 2n = -44 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = -44 + 14 2n = -44 + 14 Combine like terms: -44 + 14 = -30 2n = -30 Divide each side by '2'. n = -15 Simplifying n = -15
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